Question

melanie went into a grocery store and bought 6 peaches and 8 mangos, costing a total of $14.50. jaya went into the same grocery store and bought 7 peaches and 4 mangos, costing a total of $14.25. write a system of equations that could be used to determine the price of each peach and the price of each mango. define the variables that you use to write the system. answer attempt 1 out of 4 let \boxed{} = \underbrace{}_{\text{\\(\boldsymbol{\downarrow}\\)}}. let \boxed{} = \underbrace{}_{\text{\\(\boldsymbol{\downarrow}\\)}}. system of equations: \boxed{} \boxed{}

Explanation:

Step1: Define variables

Let $p$ = price per peach, $m$ = price per mango

Step2: Set up first equation

Total cost for Melanie: $6p + 8m = 14.50$

Step3: Set up second equation

Total cost for Jaya: $7p + 4m = 14.25$

Answer:

Let $p$ = price of one peach (in dollars)
Let $m$ = price of one mango (in dollars)
System of Equations:
$6p + 8m = 14.50$
$7p + 4m = 14.25$