[Question]Jackie's favorite cosmetic company was offering free shipping when you spent $50.00. Jackie ordered her favorite shampoo and conditioner that each cost $10.00 a bottle and 3 bottles of lotion that cost $6.00 each. How much more money does Jackie need to spend to be eligible for free shipping?
[Answer]The shampoo and conditioner cost $10 each so 2 * $10 = $20.00. 3 bottles of lotion cost $6.00 each so 3 * $6 = $18.00. So far she has spent $20 + $18 = $38.00. You need to spend $50.00 for free shipping and she has spent $38.00 already so she needs to buy $50 - $38 = $12.00 more in products. The answer is 12.
Q: Pam has some bags of apples. Each of her bags has as many apples as 3 of Gerald's bags. Gerald's bags have 40 apples each. If Pam has 1200 apples in total, how many bags of apples does she have?
A: Each of Pam's bags contain 40 * 3 = 120 apples. Pam has 1200 / 120 = 10 bags of apples. The answer is 10.
Question: In a car racing competition, Skye drove a 6-kilometer track. For the first 3 kilometers, his speed was 150 kilometers per hour. For the next 2 kilometers, his speed was 50 kilometers per hour more. For the remaining 1 kilometer, his speed was twice as fast as his speed on the first 3 kilometers. What is Skye's average speed for the entire race?
Answer: Since time is obtained by dividing distance and speed, then Skye took 3 km / 150 km per hr. = 1 / 50 of an hour to finish the first 3 kilometers of the race. His speed on the next 2 kilometers was 150 + 50 = 200 kilometers per hour. Hence, it took him 2 km / 200 km per hr. = 1 / 100 of an hour to finish the next 2 kilometers. His speed on the remaining 1 kilometer is 150 x 2 = 300 kilometers per hour. Hence, it took him 1 / 300 of an hour to finish the 1 kilometer. So, the total time it took for Skye to complete the race was 1 / 50 + 1 / 100 + 1 / 300 = 1 / 30 of an hour. Therefore, his average speed for the entire race was 6 km / 1 / 30 hour = 180 kilometers per hour. The answer is 180.
[Question]Carson is refilling his tires. Each tire can hold 500 cubic inches of air. Two of the tires are completely flat and empty. One tire is 40% full and the last tire is 70% full. If Carson injects 50 cubic inches of air with each pump, how many pumps will it take him to fill all the tires?
[Answer]First, if the a full tire needs 500 cubic inches of air, then two empty tires need: 500 cubic inches / tire * 2 tires = 1000 cubic inches. Accordingly, the 40% - full tire needs 500 cubic inches * (100% - 40%). So, we find the 40% - full tire needs 500 cubic inches * (60%) = 300 cubic inches. And, the 70% - full tire needs 500 cubic inches * (100% - 70%). So, the 70% - full tire needs 500 cubic inches * (30%) = 150 cubic inches. Now add up the needs of all the tires to find the total number of cubic inches needed: 1000 cubic inches + 300 cubic inches + 150 cubic inches = 1450 cubic inches. Finally, if the pumps each hold 50 cubic inches, the total number of pumps needed is 1550 cubic inches / 50 cubic inches / pump = 29 pumps. The answer is 29.
Q: A teacher asked Adelaide, Ephraim, and Kolton to buy ducks and monitor their growth patterns and features for their science class. Adelaide bought twice the number of ducks that Ephraim bought, while Ephraim bought 45 fewer ducks than Kolton. If Adelaide bought 30 ducks, what's the average number of ducks the three bought?
A: If Adelaide bought 30 ducks, Ephraim bought 30 ducks / 2 = 15 ducks. Since Ephraim bought 45 fewer ducks than Kolton, Kolton bought 45 ducks + 15 ducks = 60 ducks. The total number of ducks the three bought is 60 ducks + 15 ducks + 30 ducks = 105 ducks. The average number of ducks each bought is 105 ducks / 3 people = 35 ducks / person. The answer is 35.
Question: Chris’s internet bill is $45 per month for 100 GB and $0.25 for every 1 GB over. His bill for this month is $65. How many GB over was Chris charged for on this bill?
Answer:
Let G stand for the number of GB billed, so the total bill is $0.25G + $45 flat rate charge = $65 total bill. Now we will solve for G. $0.25G + $45 flat rate - $45 = $65 - $45. This simplifies to $0.25G = $20. $0.25G / $0.25 = $20 / $0.25. G = 80 GB were charged on this bill. The answer is 80.