Given:
grapes = 2 1/2 pounds
apples = 1 1/4 times as many pounds as grapes.
For easier computation, let us convert these fractions into numbers with decimal places.
2 1/2 pounds = 2.50 pounds
1 1/4 times = 1.25
Apples = 2.50 pounds * 1.25 = 3.125 pounds of apples.
Or we still use fractions. We need to convert the mixed fractions into improper fractions.
2 1/2 = 5/2
1 1/4 = 5/4
5/2 * 5/4 = 5*5 / 2*4 = 25/8 is simplified to 3 1/8 pounds
"twelve decreased by twice a number" ---> 12 - 2x
"8 times the sum of number and 4" ---> 8(x + 4)
12 - 2x = 8(x + 4)
12 - 2x = 8x + 32 (distributive property)
12 = 10x + 32 (add 2x to both sides)
-20 = 10x (subtract 32 from both sides)
x = -2 (divide both sides by 10)
That's answer.
Answer:
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