Question

Two bags and 3 pairs of shoes cost $1470. The cost of a pair of shoes is half the cost of a bag. What is the cost of a bag?​

Answer 1

The cost of a bag is $588.

Explanation:

Let's call the cost of a bag x.

Since a pair of shoes costs half the cost of a bag, each pair of shoes costs x/2.

So the cost of 2 bags and 3 pairs of shoes is 2x + 3(x/2) = 2x + (3/2)x = (5/2)x.

According to the problem, 2 bags and 3 pairs of shoes cost $1470, so (5/2)x = 1470.

Dividing both sides by 5/2, we find x = 1470 * 2 / 5 = 588.

Therefore, the cost of a bag is $588.

Answer 2

The cost of a bag is $588.

Explanation:

Let's call the cost of a bag x.

Since a pair of shoes costs half the cost of a bag, each pair of shoes costs x/2.

So the cost of 2 bags and 3 pairs of shoes is 2x + 3(x/2) = 2x + (3/2)x = (5/2)x.

According to the problem, 2 bags and 3 pairs of shoes cost $1470, so (5/2)x = 1470.

Dividing both sides by 5/2, we find x = 1470 * 2 / 5 = 588.

Therefore, the cost of a bag is $588.