SOLUTION: How do I work this problem? Suppose you just have just enough dimes and quarters to pay for a loaf of bread and quart of milk, which cost $3.45. You have a total of 15 dimes and q

Algebra.Com
Question 101076: How do I work this problem?
Suppose you just have just enough dimes and quarters to pay for a loaf of bread and quart of milk, which cost $3.45. You have a total of 15 dimes and quarters.
Let d = the number of dimes you have.
Let q = the number of quarters you have.
a. Write a system of equations that models the information given above.
b. Solve the system for the number of dimes and quarters you have. You may want to solve this by graphing.

Found 2 solutions by edjones, stanbon:
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
q+d=15
.25q+.1d=3.45
the graph says 13 quarters and 2 dimes.
sounds good to me.
Ed

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Suppose you just have just enough dimes and quarters to pay for a loaf of bread and quart of milk, which cost $3.45. You have a total of 15 dimes and quarters.
Let d = the number of dimes you have.
Let q = the number of quarters you have.
a. Write a system of equations that models the information given above.
Quantity EQUATION: d+q = 15
Value EQUATION: 10d + 35q = 345 cents
---------------------
b. Solve the system for the number of dimes and quarters you have. You may want to solve this by graphing.
It's easier to solve by elimination:
10d + 10q = 150
10d + 35q = 345
-----------------
Substract to get:25q = 195
q = 7.8
----------
Comment:
q should be a whole number. Check your posting
to see if you have it correct.
--------------
Cheers,
Stan H.

RELATED QUESTIONS

. Suppose you just have just enough dimes and quarters to pay for a loaf of bread and... (answered by rcmcc)
suppose you have just enough money, in coins, to pay for a loaf of bread priced at $1.95. (answered by solver91311)
suppose you just have enough dimes and quarters to pay for a loaf of bread and a quart... (answered by checkley75)
Suppose you have just enough money, in coins, to pay for a loaf of bread priced at $1.95. (answered by ikleyn,greenestamps)
Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much... (answered by Paul)
How do i set up this equation? Every Sunday, jarrod buys a loaf of bread for 3.00. The... (answered by josmiceli)
I needed help with setting up the eqations for this problem: 27. A bread maker costs... (answered by rapaljer)
How would I set up and solve this equation? Please show all your work You are going... (answered by Theo)
bob has $9.60 in quarters and dimes. how many of each coin do you have if you have twice... (answered by fractalier)