Question

Amanda is placing an order for running shoes and leather boots for her footwear boutique. She needs a total of 48 pairs of shoes and twice as many pairs of running shoes as leather boots. Set up the two equations that can be used to find the number of each type of shoe that Amanda needs to order. •Let the equation that represents the total number of pairs of shoes be referred to as constraint 1. •Let constraint 2 refer to the equation that describes the ratio of the number of running shoes to leather boots.

Answer 1

Constraint 1:

Let the total number of running shoes be = R

Let the total number of leather boots be = L

As the given number of total shoes are 48,

The equations becomes,

R + L = 48............(1)

Constraint 2:

As running shoes are twice the leather boots, equation becomes,

R = 2L..............(2)

Putting the value of R from equation(2) in equation (1)

$2L+ L=48$

$3L=48$

$L=16$

Now putting the value of L in equation(2)

R= 2L

R = $2*16$

R=32

Hence, Amanda needs 16 pairs of leather boots and 32 pairs of running shoes.