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

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

Answer 2

88

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*\text{j}`

and Total sales
`=\$6160`

Putting in equation

`6160=14(\text{j})+7*8\text{j}`

`6160=70\text{j}`

`\text{j}=88`

Therefore the number of jacket sold is
`88`