Answer:
28 Quarters and 40 Dimes
Step-by-step explanation:
Q=x
D=x+12
0.25(x)+0.10(x+12)=11.00
0.25x+0.10x+1.2=11.00
0.35x=9.80
x=28
Q=x=28
D=x+12=28+12=40
Given that, a coin bank containing only dimes and quarters has 12 more dimes than quarters. The total value of the coins is $11.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of quarters be x, then the number of dimes be x+12.
Now, 0.25x+0.10(x+12)=11
⇒0.25x+0.10x+1.2=11
⇒0.35x=9.8
⇒x=28
So, x+12=40
Therefore, there are 28 quarters and 40 dimes in the coin bank.
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