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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?

User Kalugny
by
5.6k points

2 Answers

12 votes

Answer:

25$

Explanation:

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

User Abonet
by
5.2k points
8 votes

Answer:

Price of a shirt= $8

Price of a cap= $3

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.

User Abstrus
by
4.6k points