Question

A local Walmart sells sweatpants ($7) and jackets ($14). If total sales were $6,160 and customers bought 8 times as many sweatpants as jackets, what would be the number of jackets sold?

Answer 1

Answer:

88

Step-by-step explanation:

Given: local Walmart sells sweatpants $7 and jackets $14.

To Find: If total sales were $6,160 and customers bought 8 times as many sweatpants as jackets find the number of jackets sold.

Solution:

Let the number of jacket sold be $=\text{j}$

Price of one jacket $=\ 14$

Let the number of sweatpants sold be $=\text{s}$

Price of one sweatpant $=\ 7$

Now,

equation for total sales is

$\text{total sales}$ $=14\text{j}+7\text{s}$

as customers bought 8 times as many sweatpants as jackets,

             $\text{s}=8\times\text{j}$

and Total sales$=\ 6160$

Putting in equation

                $6160=14(\text{j})+7\times8\text{j}$

                $6160=70\text{j}$

                $\text{j}=88$

Therefore the number of jacket sold is  $88$

             

Answer 2

let j be jackets and s be sweatpants
8j=s
7j+14s=6160
Bracket the two together with (
substitute:
7(8j)+14j=6160
56j+14j=6160
70j=6160
j=6160/70
j=88
go back to the first equation
8(88)=s
704=s
Final answer: 704 sweatpants, 88 jackets