SOLUTION: A stereo cost $12 more than twice as much as a concert ticket. Together they cost $177. How much does each cost

Question 997898: A stereo cost $12 more than twice as much as a concert ticket. Together they cost $177. How much does each cost
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
stereo= ticket times 2 plus 12. I'll call the ticket x
stereo + tickets= 177 Now, in this formula, use the value above for stereo:
ticket*2+12+ticket= 177 Before we continue with the answer, now that I explained the logic, let's set in a more elegant equation form.
------------------
Let's call the ticket x:
2x+12+x= 177 Add x on left and subtract 12 on both sides
3x= 165 Divide both sides by 3
x= 55 is the price of the ticket. The stereo is:
55*2+12= 122
---------------------
Proof:
55+(55*2+12)= 177
55+(110+12)= 177
55+122= 177
177= 177 We have the correct answer
RELATED QUESTIONS
One number is 6 more than another. The sum of the numbers is 30. Find the numbers. A (answered by College Student)

Honeydew melon costs four times as much as a peach . Together they coast $1.50. How much... (answered by nerdybill)

A coat costs 3 times as much as a pair of pants. Together they cost $180. How much does... (answered by unlockmath,michellejane3)

1. thirteen more than four times a number is -91. find the number 2. the total cost... (answered by ankor@dixie-net.com)

A bottle and a cap together cost $1.10. The bottle cost $1.00 more than the cap. How... (answered by jim_thompson5910)

a backpack costs three times as much as a notebook. together they cost $36. find the cost (answered by ewatrrr)

A desk and a chair cost $200 as a set. If the desk costs four times more than the... (answered by checkley79)

Mr. K and Mr. C go see MacGruber. Together they paid $26 for two tickets and two sodas.... (answered by Boreal)

Jane earns $41 more a week than twice as much as Bill does. Together they earn $140. How... (answered by jb007mi6)