Question: There are 90 students who have lunch during period 5. Today, two-thirds of the students sat in the cafeteria, while the remainder sat at the covered picnic tables outside. But some yellow-jackets were attracted to their food, and so one-third of the students outside jumped up and ran inside to the cafeteria, while 3 of the students in the cafeteria went outside to see what all the fuss was about. How many students are now in the cafeteria?
Answer: Originally, there were 90 * 2 / 3 = 60 in the cafeteria. Originally, there were 90 - 60 = 30 outside the cafeteria. Then 30 * 1 / 3 = 10 ran inside. The number of students inside the cafeteria grew by 10 - 3 = 7. There are now 60 + 7 = 67 students in the cafeteria. The answer is 67.
[Question]Mike has to get an x-ray and an MRI. The x-ray is $250 and the MRI is triple that cost. Insurance covers 80%. How much did he pay?
[Answer]The MRI cost 250 * 3 = $750. So between the two things he pays 250 + 750 = $1000. Insurance covered 1000 * .8 = $800. So he had to pay 1000 - 800 = $200. The answer is 200.
Q: Faith went to a baking shop and bought flour that cost $5 and a cake stand that costs $28. She then gave the cashier two $20 bills and $3 in loose coins. How much change will she receive?
A: Faith must pay $28 + $5 = $33 for the flour and cake stand. Her two $20 bills amount to $20 x 2 = $40. So, she gave the cashier a total of $40 + $3 = $43. Hence, her change is $43 - $33 = $10. The answer is 10.
Question: A bar of steel weighs twice the mass of a bar of tin. If a steel bar also weighs 20 kgs more than a copper bar and a copper bar weighs 90 kgs, calculate the total weight of a container with 20 bars of each type of metal.
Answer: The total weight of 20 bars of copper is 20 * 90 = 1800kgs. If a copper bar weighs 90 kgs, and a steel bar weighs 20 kgs more than a copper bar, the weight of a steel bar is 90 + 20 = 110 kgs. If a bar of steel weighs 110 kgs, 20 bars will weigh 20 * 110 = 2200kgs. The total weight of 20 bars of copper and steel is 2200 + 1800 = 4000 kgs. A bar of steel weighs twice the mass of a bar of tin, meaning a bar of tin weighs 110 / 2 = 55 kgs. The total weight of 20 bars of tins is 55 * 20 = 1100 kgs. The total weight of 20 bars of each metal is 4000 + 1100 = 5100 kgs. The answer is 5100.
[Question]A hot dog stand sells 10 hot dogs every hour, each one selling for $2. How many hours does the stand need to run to make $200 in sales?
[Answer]First, we find out how much in sales the stand makes each hour by multiplying the number of hot dogs sold by the sales price, finding that 2 * 10 = 20 dollars in sales each hour. Then we divide the sales goal for the day by the sales per hour, finding that the stand needs to be open for 200 / 20 = 10 hours to hit its sales goal. The answer is 10.
[Question]If a basket is capable of holding 40 fruit altogether, and there are 3 times as many apples as oranges, how many oranges are there?
[Answer]
Since the ratio of apples to oranges is 3:1, that means for every 3 apples there is 1 orange. The size of this group is therefore 3 + 1 = 4. We then divide this group size into the total amount of fruit the basket is holding at this time, which is 40. This means there are 40 / 4 = 10 of these groups in total. Since there are 10 of these groups in total, that means there are 10 * 1 = 10 oranges in the basket. The answer is 10.