Question

The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was 3 times its original price, the total price of a shirt and a cap would be $25. What is the price of a shirt and a cap?

A)Price of a shirt is $9, and price of a cap is $2.
B) Price of a shirt is $10, and price of a cap is $1.
C) Price of a shirt is $8, and price of a cap is $3.
D) Price of a shirt is $7, and price of a cap is $4.

Answer 1

Ok got it the answer is C) 8 x 2 = 16 3 x 3 = 9
so 16 plus 9 is 25

Answer 2

C. Price of a shirt is $8, and price of a cap is $3.

Explanation:

Let us assume the

initial cost of each shirt = x

initial cost of each cap = y

The total price of a shirt and a cap is $11.

i.e
`x+y=11`

`\Rightarrow y=11-x` ----------------1

As the price of the shirt was doubled and the price of the cap was 3 times its original price, so

new cost of each shirt = 2x

new cost of each cap = 3y

The total price of a shirt and a cap would be $25.

i.e
`2x+3y=25` --------------2

Putting the value of y from eq 1, in eq 2

`\Rightarrow 2x+3(11-x)=25`

`\Rightarrow 2x+33-3x=25`

`\Rightarrow 2x-3x=25-33`

`\Rightarrow -x=-8`

`\Rightarrow x=8`

Putting it in eq 1,

`\Rightarrow y=11-8=3`

Therefore, price of a shirt is $8, and price of a cap is $3.