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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?

User Oatmeal
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7.5k points

2 Answers

5 votes
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
User DAB
by
7.3k points
7 votes

Answer:

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

User GioLaq
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6.7k points