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
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:
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]