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4fce3f6 @swestwood multiplication_1 finished, percentage_word_problems_1 frameworked, st…
swestwood authored
1 <!DOCTYPE html>
d529248 @smenks13 spinning meals and locations
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2 <html data-require="math expressions spin word-problems">
4fce3f6 @swestwood multiplication_1 finished, percentage_word_problems_1 frameworked, st…
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3 <head>
65eec09 @spicyj Content-Type meta tag for libxml2 compatibility
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4 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
07d95d3 @spicyj Rename EVERYTHING; closes #323.
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5 <title>Percentage word problems 1</title>
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6 <script src="../khan-exercise.js"></script>
4fce3f6 @swestwood multiplication_1 finished, percentage_word_problems_1 frameworked, st…
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7 </head>
8 <body>
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9 <div class="exercise">
10 <div class="problems">
11 <div id="simple-percentages">
12 <div class="vars">
b59256d @marcia Remove extra KhanUtils, not necessary in var blocks
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13 <var id="A_SIMPLE">randRange( 1, 150 )</var>
14 <var id="B_SIMPLE">randRange( 2, 100 )</var>
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15 </div>
16 <p class="question">
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17 What is <var>A_SIMPLE</var>% of <var>B_SIMPLE</var>? (Round to nearest whole number.)
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18 </p>
6f2c5fb @marcia Use new answer forms
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19 <p class="solution" data-forms="integer"><var>round((A_SIMPLE * B_SIMPLE) / 100)</var></p>
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20 <div class="hints">
21 <p>
d6eaf10 @marcia Introduce dollar answer form that accepts $10.75 and 10.75
marcia authored
22 <code><var>A_SIMPLE / 100</var> \times <var>B_SIMPLE</var> \approx <var>round((A_SIMPLE * B_SIMPLE) / 100)</var> </code>
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23 </p>
24 </div>
25 </div>
26 <div id="backward-percentages" data-type="simple-percentages">
27 <p class="question">
a16f0e4 @spicyj Tiny wording tweaks
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28 <var>B_SIMPLE</var> is <var>A_SIMPLE</var>% of what number? (Round to the hundredths place.)
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29 </p>
6f2c5fb @marcia Use new answer forms
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30 <p class="solution" data-forms="decimal"><var>round(((B_SIMPLE * 100) / A_SIMPLE) * 100) / 100</var></p>
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31 <div class="hints">
32 <p>Let <code>x</code> be the number that <var>B_SIMPLE</var> is <var>A_SIMPLE</var>% of.</p>
d6eaf10 @marcia Introduce dollar answer form that accepts $10.75 and 10.75
marcia authored
33 <p><code><var>A_SIMPLE / 100</var> \times x = <var>B_SIMPLE</var></code></p>
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34 <p><code>x=<var>B_SIMPLE</var>/<var>A_SIMPLE / 100</var></code></p>
35 <p><code>x \approx<var>round((B_SIMPLE * 100/A_SIMPLE * 100))/100</var></code></p>
36 </div>
37 </div>
38 <div id="bank-percentages">
39 <div class="vars">
b59256d @marcia Remove extra KhanUtils, not necessary in var blocks
marcia authored
40 <var id="BANK_FEWER">randRange( 2, 100 )</var>
41 <var id="BANK_MORE">BANK_FEWER + randRange(5, 2 * BANK_FEWER + 10 )</var>
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42 </div>
43 <p class="question">
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44 <var>person(1)</var> has <var>BANK_MORE</var> dollars in the bank today. Yesterday, <var>he(1)</var> had <var>BANK_FEWER</var> dollars in the bank. By what percentage did <var>person(1)</var>'s bank account increase over the past day? (Round your answer to the nearest hundredth of a percent.)</p>
6f2c5fb @marcia Use new answer forms
marcia authored
45 <p class="solution" data-forms="percent"><var>round(((BANK_MORE - BANK_FEWER) * 10000) / BANK_FEWER) / 100</var></p>
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46 <div class="hints">
47 <p>The bank account grew by <code><var>BANK_MORE</var> - <var>BANK_FEWER</var> = <var>BANK_MORE - BANK_FEWER</var></code> dollars </p>
f1c3306 @spicyj Make MathJax pretty! (fix #212)
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48 <p><code>\frac{<var>BANK_MORE - BANK_FEWER</var>}{<var>BANK_FEWER</var>} \approx <var>round(((BANK_MORE - BANK_FEWER) * 10000) / BANK_FEWER) / 100</var>\%</code></p>
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49 </div>
50 </div>
51 <div id="bank-percentages-loss" data-type="bank-percentages">
52 <p class="question">
a16f0e4 @spicyj Tiny wording tweaks
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53 <var>person(1)</var> has <var>BANK_FEWER</var> dollars in the bank today. Yesterday, <var>he(1)</var> had <var>BANK_MORE</var> dollars in the bank. By what percentage did <var>person(1)</var>'s bank account decrease over the past day? (Round your answer to the nearest hundredth of a percent.)</p>
6f2c5fb @marcia Use new answer forms
marcia authored
54 <p class="solution" data-forms="percent"><var>round(((BANK_MORE - BANK_FEWER) * 10000) / BANK_MORE) / 100</var></p>
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55 <div class="hints">
56 <p>The bank account decreased by <code><var>BANK_MORE</var> - <var>BANK_FEWER</var> = <var>BANK_MORE - BANK_FEWER</var></code> dollars </p>
f1c3306 @spicyj Make MathJax pretty! (fix #212)
spicyj authored
57 <p><code>\frac{<var>BANK_MORE - BANK_FEWER</var>}{<var>BANK_MORE</var>} \approx <var>round(((BANK_MORE - BANK_FEWER) * 10000) / BANK_MORE) / 100</var>\%</code></p>
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58 </div>
59 </div>
60 <div id="yearly-percentages">
61 <div class="vars">
b59256d @marcia Remove extra KhanUtils, not necessary in var blocks
marcia authored
62 <var id="YEAR_PERCENT_MORE">randRange( 10, 150 )</var>
63 <var id="YEAR_THIS">randRange( 50, 999 )</var>
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64 <var id="YEAR_LAST">round(YEAR_THIS * 10000 / (100 + YEAR_PERCENT_MORE)) / 100</var>
65 </div>
66 <p class="question">
b9a08d5 @jklange Clarified the value of a penny by adding the phrase ", which is 1/100…
jklange authored
67 <var>person(1)</var> has <var>YEAR_PERCENT_MORE</var>% more money today than <var>he(1)</var> did this time last year. If <var>person(1)</var> has <var>YEAR_THIS</var> dollars today, how many dollars did <var>he(1)</var> have this time last year? (Round to the nearest penny, which is 1/100 of a dollar.)</p>
d6eaf10 @marcia Introduce dollar answer form that accepts $10.75 and 10.75
marcia authored
68 <p class="solution" data-forms="dollar"><var>YEAR_LAST</var></p>
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69 <div class="hints">
d9c2e7e @spicyj Fix pronouns on percentage word problems
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70 <p>Let <code>x</code> be the amount of money that <var>he(1)</var> had last year.</p>
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71 <p><code>x + <var>YEAR_PERCENT_MORE / 100</var>x = <var>YEAR_THIS</var></code></p>
72 <p><code><var>(100 + YEAR_PERCENT_MORE) / 100</var>x = <var>YEAR_THIS</var></code></p>
73 <p><code>x = \frac{<var>YEAR_THIS</var>}{<var>(100 + YEAR_PERCENT_MORE) / 100</var>}</code></p>
74 <p><code>x \approx <var>YEAR_LAST</var></code></p>
75 </div>
76 </div>
ea156a1 @smenks13 Percentage Word Problems 1: Add tip calculation problem
smenks13 authored
77 </div>
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78 </div>
79 </div>
4fce3f6 @swestwood multiplication_1 finished, percentage_word_problems_1 frameworked, st…
swestwood authored
80 </body>
cf02179 @spicyj Strip trailing whitespace
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81 </html>
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