[Question]Five less than three times the number of Doberman puppies plus the difference between the number of Doberman puppies and the number of Schnauzers is equal to 90. If the number of Doberman puppies is 20, how many Schnauzers are there?
[Answer]Three times the number of Doberman puppies is 3 * 20 = 60. Five less than three times the number of Doberman puppies is 60 - 5 = 55. Let's say the number of Schnauzers is s. The difference between the number of Doberman puppies and the number of Schnauzers is s - 20. Five less than three times the number of Doberman puppies plus the difference between the number of Doberman puppies and the number of Schnauzers is equal to 90, meaning 55 + s - 20 = 90. The number of Schnauzers which is s + 55 - 20 = 90. This evaluates to s + 35 = 90. There are s = 55 Schnauzers. The answer is 55.
Q: Melissa bought 4 packs of tennis balls for $24 in total. Each pack contains 3 balls per pack. How much did it cost Melissa for each tennis ball?
A: There are 4 packs of tennis balls while each pack has 3 balls. 4 * 3 = 12 balls. Melissa spent a total of $24 for a total of 12 balls. $24 / 12 = $2 per ball. The answer is 2.
Question: Jonsey is awake for 2/3 of the day and spends 1/2 her time awake playing outside and the rest inside. Her brother, Riley, is awake for 3/4 of the day and spends 1/3 of his day outside and the rest inside. How much time, on average, do they spend inside?
Answer: Jonsey is awake for 16 hours because 24 x (2 / 3) = 16. Jonsey spends 1 / 2 her day inside because 1 - (1 / 2) = 1 / 2. Jonsey spend 8 hours inside because 16 x (1 / 2) = 8. Riley is awake for 18 hours because 24 x (3 / 4) = 18. Riley spends 2 / 3 of his day inside because 1 - (1 / 3) = 2 / 3. Riley spends 12 hours inside because 18 x (2 / 3) = 12. In total they spend 20 hours inside because 8 + 12 = 20. On average, they spend 10 hours inside because 20 / 2 = 10. The answer is 10.
[Question]Jason is hiring two construction workers, one electrician and one plumber. If the construction workers each make $100/day, the electrician makes double what a worker is paid and the plumber makes 250% of a worker's salary, how much are the overall labor costs for one day?
[Answer]First find how much the electrician earns per day: $100 / day * 2 = $200 / day. Then find how much the plumber earns per day: $100 / day * 250% = $250 / day. Then find how much both workers pay together: $100 / day / worker * 2 workers = $200 / day. Then add the cost of each worker to find the total labor cost per day: $200 / day + $250 / day + $200 / day = $650 / day. The answer is 650.
Q: Jim’s bi-weekly gross pay is $1120. He automatically has 25% of his paycheck go into his retirement account. They also take $100.00 out of each paycheck for taxes. After money is taken out for retirement and taxes, how much money will be on Jim’s paycheck?
A: He has 25% of his take - home pay automatically enrolled into his 401k so that’s .25 * 1120 = $280.00. His take - home pay is $1120.00 and $280.00 is taken out for retirement so that leaves 1120 - 280 = $840.00. They also take $100.00 out of his paycheck for taxes so his paycheck will be issued for 840 - 100 = $740.00. The answer is 740.
Question: Lloyd, Mark, and Michael have their Pokemon cards collection. Currently, Mark has thrice as many cards as Lloyd but has 10 fewer cards than Michael. If Michael has 100 cards now, how many more cards should they collect so that all three of them will have a total of 300 cards?
Answer:
Mark has 10 fewer cards than Michael so Mark has 100 cards - 10 cards = 90 cards. So, Lloyd has 90 cards / 3 = 30 cards. All three of them have 90 cards + 30 cards + 100 cards = 220 cards. Thus, they need to collect 300 cards - 220 cards = 80 more cards. The answer is 80.