Question

Savannah and her children went into a grocery store and she bought $22 worth of peaches and mangos. Each peach costs $1.75 and each mango costs $1.50. She bought 6 more mangos than peaches. Write a system of equations that could be used to determine the number of peaches and the number of mangos that Savannah bought. Define the variables that you use to write the system.

Answer 1

1.75p + 1.50(p + 6) = 22

Step-by-Step:

p = peaches, m = mangos

1.75p + 1.50m = 22

m = p + 6

1.75p + 1.50(p + 6) = 22

1.75p + 1.50p + 9 = 22

1.75p + 1.50p = 22 - 9

3.25p = 13

p = 13 / 3.25

p = 4 <====== she bought 4 peaches

m = p + 6

m = 4 + 6

m = 10 <===== she bought 10 mangos

check...

1.75p + 1.50m = 22

1.75(4) + 1.50(10) = 22

7 + 15 = 22

22 = 22 (correct)