Two friends shop for fresh fruit. Elena buys a watermelon for $7.45 and 3 pounds ofcherries. Taniy buys a pineapple for $3.35 and 2 pounds of cherries. Use the variable p to representthe price, in dollars, per pound of cherries. Write and simplify an expression to represent how muchmore Elena spent.

Two friends shop for fresh fruit Elena buys a watermelon for 745 and 3 pounds ofcherries Taniy buys a pineapple for 335 and 2 pounds of cherries Use the variabl class=


Answer :

Let's use the variable E to represent the total value spent by Elena and T to represent the total value spent by Taniy.

If Elena spent $7.45 plus the cost of 3 pounds of cherries, the expression for the amount she spent is:

[tex]E=7.45+3p[/tex]

Taniy spent $3.35 plus the cost of 2 pounds of cherries, so the expression for the amount the spent is:

[tex]T=3.35+2p[/tex]

To find how much more Elena spent, let's subtract both expressions:

[tex]\begin{gathered} E-T\\ \\ =7.45+3p-(3.35+2p)\\ \\ =7.45+3p-3.35-2p\\ \\ =4.1+p \end{gathered}[/tex]

Therefore the answer is 4.1 + p.