coat cost $14 and sweater cost $9.50. Last Friday,Bob made $2882 while selling four times as many coats as sweaters. how many coast and sweaters did bob sell?

Question

coat cost $14 and sweater cost $9.50. Last Friday,Bob made $2882 while selling four times as many coats as sweaters. how many coast and sweaters did bob sell?

Answer 1

Bob sold x sweaters, which cost $9.50.

Bob sold y coats, which cost $14.

 

If Bob sold 4 times as many coats as sweaters, that means:

...if he sold 1 sweater, then he sold 4 coats;

...if he sold 5 sweater, then he sold 20 coats;

...if he sold x sweaters, then he sold 4x coats= y coats.

 

So all together he sold (x sweaters) at ($9.50 per sweater) and (4x= y coats) at ($14 per coat)...

And that tells us how much money all together he made, which is $2882.00

 

Get rid of the words, translate them into math, and we have

 

(x)*($9.50) + (4x)*($14)= $2882

(9.5)(x) + (4*14)(x) = 2882

9.5x + 56x = 2882

65.5x = 2882

When you find x, that tells you you many sweater he sold.

From there, how do we figure out how many coats he sold?