SOLUTION: a bill of 13.75 was paid in half dollars and quarters. the number of half dollars exceeded the number of quarters by 5. how many of each are there

Question 135057: a bill of 13.75 was paid in half dollars and quarters. the number of half dollars exceeded the number of quarters by 5. how many of each are there
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
number of half dollars: h
number of quarters: q

value of h half dollars: 50h cents
value of q quarters: 25q cents

Total money: $13.75, which can be expressed as 1375 cents, so:

50h + 25q = 1375

5 more half dollars than quarters: h = q + 5, so:

50(q + 5) + 25q = 1375

Can you solve it from here or do you need more help?
RELATED QUESTIONS
A purse contained $3.90 in nickels, quaerters and half-dollars. the number of... (answered by lwsshak3)

A coin collection consisting of nickels, quarters, and half dollars is worth $10.00 There (answered by stanbon)

A phone bill of $32.50 was paid in fifty cent pieces and quarters. the number of fifty... (answered by math_helper,greenestamps,ikleyn)

A box of coins contains dimes, quarters, and half dollars. The face value of the half... (answered by stanbon)

The number of quarters in x dollars. (answered by richard1234)

The number of quarters in d... (answered by asuar010)

To provide change for a day's business, a merchant buys $75 worth half dollars, quarters, (answered by richwmiller)

A stack of 130 half dollars and quarters is worth $40. Find the number of each type of... (answered by solver91311)

joe has $4.70 in half-dollars, quarters, and dimes. The number of quarters is 10 less... (answered by Zizzle)