Answer:
A. a = $3, p = $6
Step-by-step explanation:
Let the cost of a bucket of apple=a
Let the cost of a bucket of peaches=p
6 buckets of apples and 4 buckets of peaches costs $42.
8 buckets of apples and 2 buckets of peaches costs $36.
- 8a+2p=36 (Multiply by 2 to make the coefficient of p 4)
We solve the two resulting equations simultaneously
6a+4p=42
16a+4p=72
Subtract
-10a=-30
Divide both sides by -10
a=$3
Next, we substitute a=$3 in any of the equation to solve for p
6a+4p=42
6(3)+4p=42
4p=42-6(3)
4p=42-18
4p=24
Divide both sides by 4
p=$6
Therefore, a bucket of apple costs $3 and a bucket of peaches costs $6.
