SOLUTION: Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have?
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-> SOLUTION: Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have?
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You can put this solution on YOUR website! Laura has $4.50 in dimes and quarters.
She has 3 more dimes than quarters.
How many quarters does she have?
:
Let d = no. of dimes
let q = no. of quarters
:
Write an equation for each statement
:
Laura has $4.50 in dimes and quarters.
.10d + .25q = 4.50
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She has 3 more dimes than quarters.
d = q + 3
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In the 1st equation, replace d with (q+3)
.10(q+3) + .25q = 4.50
.10q + .3 + .25q = 4.50
.10q + .25q = 4.50 - .30
.35q = 4.20
q = 4.20/.35
q = 12 quarters
:
:
That answers the question but to check it, find the no. of dimes
Use the 2nd equation
d = 12 + 3
d = 15 dimes
Check this in the 1st equation
.10(15) + .25(12) =
1.50 + 3.00 = 4.50
