Question

James spent 4/5 of his birthday money on three sweaters and four hats each sweater cost twice as much as each hat if he had $35 left after his shopping spree how much did James pay for each hat

Answer 1

Answer:

Hat costs $17.5

Step-by-step explanation:

Let x represent the cost of one sweater.

Let y represent the cost of one hat.

James spent 4/5 of his birthday money on three sweaters and four hats. This means that she spent 4/5 of his birthday money on 3x +4y

Each sweater cost twice as much as each hat. It means that

x = 2y

Assuming his total birthday money was $z and after spending 4/5 of it on the hats and sweaters, he had $35 left after his shopping spree, then,

z - 4z/5 = 35

Cross multiplying by 5

5z - 4z = 175

z = 175

This means that his birthday money was $175

It means that

3x + 4y = 175 - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

3(2y) + 4y = 175

6x + 4y = 175

10y = 175

x = 175/10= 17.5

x = 2y = 17.5×2 = $35