Suppose you buy 4 buckets of apples and 5 buckets of peaches for $64. If you bought 8

buckets of apples and 3 buckets of peaches, you would have spent $72. How much is one

bucket of apples (a), and one bucket of peaches (p) ?

A. a = $8, p = $3

B. a = $4, p = $5

C. a = $8, p = $6

D. a = $6, p = $8

A = $6, P=$8

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Option D is the correct answer.

Step-by-step explanation:

Step 1:

Let A represent the cost of one bucket of apple and P represent the cost of one bucket of peaches.

So we have,

4 buckets of apples and 5 buckets of peaches for $64

8 buckets of apples and 3 buckets of peaches for $72

Writing this in the equation form we have,

4A + 5P = 64

8A + 3P = 72

Step 2:

Solving for the above 2 equations we can get the required costs

Equation 1 is

4A + 5P = 64, Multiplying this by 2 we have 8A + 10P = 128

Equation 2 = 8A + 3P = 72

Subtracting both we have, 7p = 56 = > P = 8

Substituting this in equation 1 we have

8A + 80 = 128 = > A = 6

Hence the cost of one bucket of apple is $6 and the cost of one bucket of apple is $8.

Option D is the correct answer.