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?

Respuesta :

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 [tex]=\text{j}[/tex]

Price of one jacket [tex]=\$14[/tex]

Let the number of sweatpants sold be [tex]=\text{s}[/tex]

Price of one sweatpant [tex]=\$7[/tex]

Now,

equation for total sales is

[tex]\text{total sales}[/tex] [tex]=14\text{j}+7\text{s}[/tex]

as customers bought 8 times as many sweatpants as jackets,

             [tex]\text{s}=8\times\text{j}[/tex]

and Total sales[tex]=\$6160[/tex]

Putting in equation

                [tex]6160=14(\text{j})+7\times8\text{j}[/tex]

                [tex]6160=70\text{j}[/tex]

                [tex]\text{j}=88[/tex]

Therefore the number of jacket sold is  [tex]88[/tex]