Question

A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?

Answer 1

Answer: One shirt is $30

Step-by-step explanation: Have a great day

Answer 2

Cost of one shirt = $ 30

Explanation:

Let cost of 1 shirt = s

Cost of 1 hat = h

A shopper bought 6 shirts and 8 hats for $700.

6s + 8h = 700 -------------------(I)

A shopper bought 9 shirts and 6 hats for $660

9s + 6h = 660 -----------------(II)

Multiply equation (I) with 9 and multiply equation (II) with (-6) and then add. SO, now 's' will be eliminated and we can find the value of 'h'

(I) * 9 54s + 72h = 6300

(II)*(-6) -54s - 36h = - 3960 {Now add}

36h = 2340

h = 2340/36

h = 65

Cost of one hat = $ 65

Substitute h = 65 in equation (I)

6s + 8 * 65 = 700

6s + 520 = 700

6s = 700 - 520

6s = 180

s = 180/6

s = 30

Cost of one shirt = $ 30