SOLUTION: Please help me solve the below: Bruce has $5.15 in dimes and quarters. He has 8 more quarters than dimes. How many quarters does he have ?? thank you !!!!! (HS Freshman stru

Algebra.Com
Question 553875: Please help me solve the below:
Bruce has $5.15 in dimes and quarters. He has 8 more quarters than dimes. How many quarters does he have ??
thank you !!!!!
(HS Freshman struggling in Algebra)

Answer by TutorDelphia(193)   (Show Source): You can put this solution on YOUR website!
I like doing this problems in terms of pennies rather than dollars.
So a dime is worth 10 and quarter is worth 25. That gives me this equation:
10d+25q=515
He has 8 more quarters than dimes can be written as:
d+8=q
This is already solved for q so I can sub in d+8 for q since they have equal values
That gives me:
10d+25(d+8)=515
Distribute the 25
10d+25d+200=515
Combine like terms and subtract 200 from both sides
35d=315
Divide by 35
d=9
Sub in 9 for d
9+8=q
q=17
If you need more help, just let me know.
Thanks,
Adam

RELATED QUESTIONS

Bruce has 5.50 in dimes and quarters. He has 8 more quarters than dimes. How many... (answered by Alan3354)
Bruce has $5.15 in dimes and quarters. He has 8 more quarters than dimes. How many... (answered by mananth)
Bruce has $5.50 in dimes and quarters. He has eight more quarters than dimes. How many... (answered by edjones)
Bruce has $5.50 in dimes and quarters. He has 8 more quarters then dimes. How many coins... (answered by harpazo,algebrahouse.com)
John has some dimes and quarters in his pocket. The value of the coins are $6.20. There (answered by scott8148)
leo has $4.00 IN DIMES AND QUARTERS. HE HAS 6 MORE DIMES THAN QUARTERS. HOW MANY QUARTERS (answered by oberobic)
Jake has $2.55 in dimes and quarters. He has eight more dimes than quarters. How many... (answered by lynnlo)
Ron has $2.55 in dimes and quarters. He has eight more dimes than quarters. How many... (answered by TimothyLamb)
Malcolm has $2.30 in quarters and dimes. He has 2 more dimes than quarters. How many... (answered by richwmiller,checkley77)