[Question]The cost of purchasing two commodities is $827. If the purchase price of the first one exceeds the other by $127, what is the purchase price of the first commodity?
[Answer]Let X be the price of the first commodity, so the price of the second commodity is X - $127. The cost of purchasing two of them is X + (X - $127) = $827. Combining like terms, we get X * 2 - $127 = $827. Subtracting $137 from both sides, we get X * 2 = $954. Dividing both sides by 2, we get X = $477. The answer is 477.
Q: Daniel has a collection of 346 video games. 80 of them, Daniel bought for $12 each. Of the rest, 50% were bought for $7. All others had a price of $3 each. How much did Daniel spend on all the games in his collection?
A: On 80 games, Daniel spend 80 games * $12 / game = $960. The rest of the collection is 346 games - 80 games = 266 games. 50% of these games means 50 / 100 * 266 games = 133 games. Daniel bought them for $7 each, so he had to spend 133 games * $7 / game = $931 on them. The other 133 games were bought for $3 each, so they've cost him 133 games * $3 / game = $399. On all games in total Daniel spent $960 + $931 + $399 = $2290. The answer is 2290.
Question: Lyra has an $80 budget for a week to spend on food. If she bought 1 bucket of fried chicken that costs $12 and 5 pounds of beef that cost $3 per pound. How much is left on her weekly budget?
Answer: Five pounds of beef cost $3 x 5 = $15. So Lyra spent a total of $12 + $15 = $27. Therefore, $80 - $27 = $53 is left on her weekly budget. The answer is 53.
[Question]Hanna has $300. She wants to buy roses at $2 each and give some of the roses to her friends, Jenna and Imma. Jenna will receive 1/3 of the roses, and Imma will receive 1/2 of the roses. How many roses does Hanna give to her friends?
[Answer]Hanna can buy $300 / $2 = 150 roses. So, Jenna will receive 1 / 3 x 150 = 50 roses. While Imma will receive 1 / 2 x 150 = 75 roses. Therefore, Hanna gives a total of 50 + 75 = 125 roses to her friends. The answer is 125.
Q: Chad has 100 apples and each apple has different sizes and different price ranges. Each small apple cost $1.5, medium apple cost $2, and big apples cost $3. If Donny bought 6 small and medium apples and also 8 big apples, how much will Donny have to pay for all of it?
A: Donny was charged $1.5 x 6 = $9 for the small apples. He was charged $2 x 6 = $12 for the medium apples. And he was also charged $8 x 3 = $24 for the big apples. Therefore, Donny has to pay $9 + $12 + $24 = $45 for all the apples. The answer is 45.
Question: Alex and his friend had a free throw contest. Alex made 8 baskets. Sandra made three times as many baskets as Alex and Hector made two times the number of baskets that Sandra made. How many baskets did they make in total?
Answer:
Sandra made 3 * 8 = 24 baskets. Hector made 24 * 2 = 48 baskets. In total they made 8 + 24 + 48 = 80 baskets. The answer is 80.