Q: While camping, Cyrus counted 14 mosquito bites on his arms and legs. He later counted another 10 on his body. While he was suffering, his entire family of 6 other people only got a total of half the number of bites that Cyrus got. If they all have an equal number of bites, how many mosquito bites does each member of the rest of Cyrus' family have?
A: Altogether, Cyrus got 14 + 10 = 24 mosquito bites. The rest of his family had a total of 24 / 2 = 12 mosquito bites. Each family member had 12 / 6 = 2 mosquito bites. The answer is 2.
Question: Marie is planning to buy a new cash register for her bakery that costs $1040. Every day Marie sells 40 loaves of bread for $2 each and 6 cakes for $12 each. She has to pay $20 each day for rent and $2 each day for electricity. How many days' worth of profits will it take for Marie to pay for the cash register?
Answer: First figure out how much money Marie makes from selling bread each day by multiplying the number of loaves sold by the price per loaf: 40 loaves * $2 / loaf = $80. Next figure out how much money Marie makes from selling cakes each day by multiplying the number of cakes sold by the price per cake: 6 cakes * $12 / cake = $72. Now add the money from selling the bread to the money from selling the cakes to find Marie's total daily income: $80 + $72 = $152. Next subtract Marie's daily expenses from her daily income to find her daily profit: $152 - $20 - $2 = $130. Finally, divide the price of the cash register by Marie's daily profit to find how many days' profits she needs to pay for it: $1040 / $130 = 8. The answer is 8.
[Question]Daniel practices basketball for 15 minutes each day during the school week. He practices twice as long each day on the weekend. How many minutes does he practice during a whole week?
[Answer]Daniel practices for a total of 15 x 5 = 75 minutes during the school week. He practices 15 x 2 = 30 minutes each day on the weekend. So, he practices a total of 30 x 2 = 60 minutes on the weekend. Thus, Daniel practices for a total of 75 + 60 = 135 minutes during a whole week. The answer is 135.
Q: Lola and Tara decide to race to the top of a 20 story building. Tara takes the elevator and Lola runs up the stairs. Lola can run up 1 story in 10 seconds. The elevator goes up a story in 8 seconds but stops for 3 seconds on every single floor. How long would it take for the slower one of Lola and Tara to reach the top floor?
A: Lola climbs 20 stories in 20 stories x 10 seconds / story = 200 seconds. Tara can go up the elevator in 8 seconds / story x 20 stories = 160 seconds without the stops at each floor. The elevator stops for 3 seconds on each floor for a total of 20 stories x 3 seconds / story = 60 seconds. In total it takes Tara 160 seconds + 60 seconds = 220 seconds to reach the top floor. Because 200 < 220 Lola wins. The answer is 220.
Question: Marcel goes to the store with Dale to buy groceries for cooking dinner. Marcel buys 10 ears of corn, and Dale buys half that amount. Dale buys 8 potatoes and Marcel buys some, too. If they check out together and end up buying 27 vegetables, how many potatoes did Marcel buy?
Answer: Marcel bought 10 ears of corn and Dale bought 1 / 2 what Marcel did, 10 x 1 / 2 = 10 / 2 = 5 ears of corn that Dale bought. Together, Marcel and Dale bought 10 + 5 = 15 ears of corn, or 15 vegetables. They end up buying 27 vegetables total, and from those 27, 15 of them were corn. The rest of the vegetables are potatoes, 27 vegetables - 15 ears of corn = 12 potatoes. Dale bought 8 potatoes, so Marcel bought 12 - 8 = 4 potatoes. The answer is 4.
Q: One US cup equals 250ml. Brian is making lasagna for himself, his wife, his two kids, his parents, and his wife's parents. The recipe requires 1/2 a cup of milk per serving. How many 1L cartons of milk does Brian need to buy if each person is expected to eat 2 servings?
A:
There will be a total of (1) Brian + (1) Brian's wife + (2) two kids + (2) Brian's parents + (2) Brian's in - laws = 1 + 1 + 2 + 2 + 2 = 8 people eating. If 1 person eats 2 serving of lasagna then 8 people will eat 8 * 2 = 16 servings. If each serving requires 1 / 2 cup of milk then 16 servings require 16 * 1 / 2 cups = 8 cups of milk. If one cup of milk equals 250 ml, then 8 cups of milk equal 8 * 250 = 2000 ml of milk. 1L carton of milk equals 1000ml of milk, therefore Brian needs 2000 / 1000 = 2 cartons of 1L milk. The answer is 2.