SOLUTION: a sweater cost $12 more than a shirt. Together they cost $46. What was the price of the shirt?
Algebra.Com
Question 75369: a sweater cost $12 more than a shirt. Together they cost $46. What was the price of the shirt?
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
a sweater cost $12 more than a shirt. Together they cost $46. What was the price of the shirt?
Sweater + Shirt = 46
Sweater = Shirt + 12
So, (Shirt+12) + Shirt = 46
2Shirt + 12=46 [Solve for the "Shirt"]
2Shirt=46-12
2Shirt=34
2/2Shirt=34/2
Shirt=$17
or
x+y=46
(y+12)+y=46
2y+12=46
2y=46-12
2y=34
2/2y=34/2
y=17
.
.
Check by plugging the values back into the original equation:
Sweater + Shirt = 46
(17+12) + 17=46
29+17=46
46=46 [checks out]
RELATED QUESTIONS
The total cost of a shirt and a sweater is $80.34. If the price of the shirt was $7.43... (answered by jennywecas)
Jose bought a shirt and a sweater for a total of $74. The price on the sweater was $8... (answered by TimothyLamb)
Manuel bought a shirt and a sweater for a total price of $65. The price of the sweater... (answered by greenestamps)
Jose bought a shirt and a sweater for a total of $65. The price of the sweater was $5... (answered by haileytucki)
A shirt and a tie together cost $50. The shirt costs $24 more than the tie. What is the... (answered by ewatrrr)
After a 15% discount, a shirt cost $30.60. What was the regular price of the... (answered by Cromlix)
A sweatshirt cost $9 more than a T-shirt. Together, the shirts cost $23. What is the cost (answered by checkley77)
The price of a sweater is 5 dollars less than twice the price of a shirt. If four shirts... (answered by stanbon)
the price of a sweater is $5 less than twice the price of a shirt.if four shirts and... (answered by greta_elisif)