Q: Joanna and Jacques had 40 and 60 gumballs, respectively, in their dishes. They then purchased 4 times the number of gumballs they had initially and added these to their dishes. If they decided to put together their gumballs and shared them equally, how many gumballs did each get?
A: When Joanna purchased 4 times the number of gumballs she initially had, she added 40 * 4 = 160 gumballs to her dish. The total number of gumballs Joanna had in her dish after buying 160 more is 160 + 40 = 200. At the same time, Jacques bought 60 * 4 = 240 new gumballs. When Jacques added his new 240 gumballs to his dish, the total number of gumballs increased to 240 + 60 = 300 gumballs. When they decided to put together their gumballs, they had 300 + 200 = 500 gumballs altogether. After sharing equally, each person got 500 / 2 = 250 gumballs. The answer is 250.
Question: Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?
Answer: The number of non - valuable files Brennan downloaded in the first round is 70 / 100 * 800 = 560 files. The number of valuable files Brennan downloaded in the first round is 800 - 560 = 240. When he downloaded 400 new files, there were 3 / 5 * 400 = 240 non - useful files, which he deleted again. The total number of valuable files he downloaded in the second round is 400 - 240 = 160. To write his research, Brennan had 160 + 240 = 400 useful files to reference to write his research. The answer is 400.
[Question]Three plastic chairs cost as much as a portable table. Five plastic chairs cost $55. If Manny wants to buy one portable table and two chairs, how much will be left in his $100?
[Answer]Each plastic chair costs $55 / 5 = $11. Two chairs cost $11 x 2 = $22. A portable table costs $11 x 3 = $33. Manny has to pay a total of $22 + $33 = $55. Thus, Manny will be left with $100 - $55 = $45. The answer is 45.
Q: Lyra bought a pair of shoes at a 20% discount. If she paid $480, how much was the original price of the pair of shoes?
A: Lyra only paid $480 for the pair of shoes which is only 100% - 20% = 80% of the original price. So let x be the original price. Then 0.8x = $480. Thus x = $480 / 0.8 = $600. The answer is 600.
Question: Anais has 30 more toys than Kamari. There are 160 toys altogether. How many toys are there in Kamari's box?
Answer: Let's say Kamari has x toys. Anais has x + 30 toys. Combined, Anais and Kamari have a total of x + x + 30 = 160 toys. Combining like terms, we get 2x + 30 = 160. Subtracting 30 from both sides, we get 2x = 130. Dividing both sides by 2, we get x = 65, so the total number of toys that Kamari has is 65. The answer is 65.
Q: Tom uses 10 weight plates each weighing 30 pounds on an exercise machine. This exercise machine uses special technology to make the weights 20% heavier on the lowering portion. How heavy did the weights feel when being lowered?
A:
The weight stack weighed 10 * 30 = 300 pounds. So the added weight made it 300 * .2 = 60 pounds heavier. So when he lowered the weight it was 300 + 60 = 360 pounds. The answer is 360.