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Tyler has $9.70 in dimes and quarters. The number of quarters is eight more than four times the number of dimes. How many dimes does he have?

Select one:
a. 36
b. 14
c. 18
d. 7

User Ricick
by
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1 Answer

1 vote

Final answer:

After setting up a system of equations to represent the value of dimes and quarters Tyler has, and solving for the number of dimes, it is determined that Tyler has 7 dimes.

Step-by-step explanation:

Tyler has $9.70 in dimes and quarters. The question states that the number of quarters is eight more than four times the number of dimes. We can set up a system of equations to solve for the number of dimes Tyler has. Let d represent the number of dimes and q represent the number of quarters. Each dime is worth 10 cents and each quarter is worth 25 cents.

The total value equation is 10d + 25q = 970 (since we have $9.70, and we need to work in pennies to match the values of dimes and quarters).

The relationship between dimes and quarters can be written as q = 4d + 8.

Substituting the second equation into the first gives us 10d + 25(4d + 8) = 970. Simplifying this, we get 10d + 100d + 200 = 970, which simplifies further to 110d = 770. Dividing both sides by 110 gives us d = 7.

Therefore, the correct answer is d. 7 dimes.

User Pawan Singh
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