A jar contains $34.75 in quarters and dollar coins. If the number quarters is three more than four times the number of dollars, determine the number of each type of coin.
This is the problem rewritten in terms of variables: 3 + 4x = y
We know that the addition of the two variables will give us the final product resulting in the equation:
.25y + 1x = 34.75
If we substitute in the equation ( 3 + 4x = y ) it will give a rule to how many quarters you can have in relation to dollars.
.25( 3 + 4x ) + 1x = 34.75
.75 + 1x + 1x = 34.75
2x = 34
x = 17
You then plug 17 back into the equation 3 + 4x = y
3 + 4(17) = y This will show you how many dollar coins you have in relation to quarter coins.
y = 71
You have 17 Dollar Coins and 71 Quarters
You can also check your work by multiplying their values and adding them.
17(1) + 71(.25) = $34.75
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