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?

Verified Answer :

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

aachen

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  \(88\)