Question

shopping two friends shop for fresh fruit. elena buys a watermelon for $8.65 and 4 pounds of cherries. tany buys a pineapple for $4.55 and 3 pounds of cherries. use the variable p to represent the price, in dollars, per pound of cherries. write and simplify an expression to represent how much more elena spent. the expression \\(\square\\) represents how much more elena spent than tany. (simplify your answer. use integers or decimals for any numbers in the expression.)

Explanation:

Step1: Calculate Elena's total spending

Elena buys a watermelon for $8.65 and 4 pounds of cherries at $p per pound. So her total spending is $8.65 + 4p$.

Step2: Calculate Tany's total spending

Tany buys a pineapple for $4.55 and 3 pounds of cherries at $p per pound. So her total spending is $4.55 + 3p$.

Step3: Find the difference in their spending

To find how much more Elena spent than Tany, we subtract Tany's spending from Elena's spending: $(8.65 + 4p) - (4.55 + 3p)$.

Step4: Simplify the expression

First, distribute the negative sign: $8.65 + 4p - 4.55 - 3p$. Then combine like terms: $(8.65 - 4.55) + (4p - 3p) = 4.1 + p$.

Answer:

The expression is $p + 4.1$.