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 3 out of 4 let p = the number of peaches. let m = the number of mangos. system of equations: 6p + 8m = 14.50 7p + 4m + 14.25

Explanation:

Step1: Define correct variables

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

Step2: Write Melanie's purchase equation

Total cost = (peach count $\times$ price per peach) + (mango count $\times$ price per mango)
$6p + 8m = 14.50$

Step3: Write Jaya's purchase equation

Total cost = (peach count $\times$ price per peach) + (mango count $\times$ price per mango)
$7p + 4m = 14.25$

Answer:

Let $p$ = the price of one peach.
Let $m$ = the price of one mango.
System of Equations:
$6p + 8m = 14.50$
$7p + 4m = 14.25$