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 the original price, the total price of a shirt and cap is $25. what is the price of a shirt and a cap?

Respuesta :

Answer:

25$

Step-by-step explanation:

it says "the total price of a shirt and cap is $25."

Answer:

Price of a shirt= $8

Price of a cap= $3

Step-by-step explanation:

Let the original price of a shirt and a cap be $s and $c respectively.

From the first sentence:

s +c= 11 -----(1)

From the second sentence:

2s +3c= 25 -----(2)

From (1):

s= 11 -c -----(3)

Substitute (3) into (2):

2(11 -c) +3c= 25

Expand:

22 -2c +3c= 25

Simplify:

22 +c= 25

Minus 22 on both sides:

c= 25 -22

c= 3

Substitute c= 3 into (3):

s= 11 -3

s= 8

Thus, the prices of a shirt and a cap are $8 and $3 respectively.