[Question]Marcus scored 5 3-point goals and 10 2-point goals. If his team scored 70 points overall, what percentage of the team's total points did Marcus score?
[Answer]First find the total number of points Marcus scored through 3 - point goals: 5 goals * 3 points / goal = 15 points. Then find the total number of points he scored through 2 - point goals: 10 goals * 2 points / goal = 20 points. Then add those amounts to find the total number of points Marcus scored: 15 points + 20 points = 35 points. Finally, divide that number by the team's total number of points and multiply by 100% to find the percentage of points Marcus scored: 35 points / 70 points * 100% = 50%. The answer is 50.
Q: Mr. Fortchaud turns on his heater on the 1st of November, 2005. The fuel tank was then full and contained 3,000 L. On January 1, 2006, the tank counter indicated that 180 L remained. Mr. Fortchaud again filled his tank completely. On 1 May 2006, Mr. Fortchaud decided to stop heating and he read 1,238 L on the meter. What the volume of fuel oil that was used between 1 November 2005 and 1 May 2006?
A: I calculate consumption between November 1, 2005 and January 1, 2006: 3,000 180 = 2820 L. I calculate consumption between January 1, 2006 and May 1, 2006: 3,000 1238 = 1762 L. I calculate the total consumption between November 1st and May 1st: 2,820 + 1,762 = 4582 L. The answer is 4582.
Question: Leila spent 3/4 of her savings on make-up and the rest on a sweater. If the sweater cost her $20, what were her original savings?
Answer: If Leila spent 3 / 4 of her savings on make - up, this means she spent 1 - 3 / 4 = 1 / 4 of her savings on a sweater. Let S be her original savings. If the sweater cost $20, this means 1 / 4 * S = $20. Thus S = $20 * 4 = $80. The answer is 80.
[Question]Paul's grades last semester were very bad. To encourage him, Paul's dad promised him $5 for every B+ he gets in his next scorecard and twice that amount for every A. If Paul obtains at least two A+ he'll double the previous rewards and would receive a flat $15 for every A+ obtained (with no extra bonus). If there are 10 courses with grades in Paul's scorecard, what's the maximum amount he could receive from his dad?
[Answer]We know Paul would get $5 for a B + . However, we know this could be (2x) doubled if he obtains at least two A + . This means 2 * $5 = $10 for a B + if Paul gets at least two A + . We know Paul would get twice the reward of a B + if he gets an A. This means 2 * $5 = $10 for every A. However, we know his reward for every A could be (2x) doubled if he obtains at least two A + . This means 2 * $10 = $20 for every A if Paul gets at least two A + . We learn here then that Paul will get a higher reward for obtaining A grades ($20) than getting A + grades ($15) as long as he's able to score at least two A + . To maximize his payout, Paul will need to get only (2) two A + from his 10 courses. Therefore he should aim to get an A in the remaining 10 - 2 = 8 courses. Assuming Paul can get two A + and eight A in his next scorecard his total payout would be 2 * $15 + 8 * $20. This translates into $30 + $160 or $190. The answer is 190.
Q: If Lyn donates $240 to a private organization each year where 1/3 of it goes to the community pantry project, 1/2 goes to the local crisis fund, 1/4 of the remaining goes to livelihood project funds, and the rest is for contingency funds. How much goes to contingency fund?
A: The community pantry project gets 240 x 1 / 3 = $80. The local crisis fund has 240 x 1 / 2 = $120. The total funds allocated for the two funds is $80 + $120 = $200. So, $240 - $200 = $40 are left for the other 2 funds. The livelihood project gets $40 x 1 / 4 = $10. This means that the contingency fund is $40 - $10 = $30. The answer is 30.
Question: Andrew's father buys a package of 100 masks. Andrew lives with his 2 parents and 2 siblings. All members of Andrew's family change masks every 4 days. How many days will it take to finish the pack of masks?
Answer:
Andrew's family consists of 1 + 2 + 2 = 5 people. Each of Andrew's family members uses 100 masks / 5 = 20 masks. With everyone wearing a mask every 4 days, the masks will last 20 masks * 4 days / mask = 80 days. The answer is 80.