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leonid [27]
3 years ago
9

Francine has $4.35 in dimes and quarters. The number of dimes is five more than the number of quarters. How many of each coin do

es she have?
Mathematics
2 answers:
Leya [2.2K]3 years ago
6 0

344676 I hope that helps

stellarik [79]3 years ago
3 0

Answer:

Franchise has 11 quarters and 16 dimes.

Step-by-step explanation:

Let d represent number of dimes and q represent number of quarters.

We have been given that the number of dimes is five more than the number of quarters. We can represent this information in an equation as:

d=q+5...(1)

We are also told that Francine has $4.35 in dimes and quarters. We can represent this information in an equation as:

0.10d+0.25q=4.35...(2)

Now, we will substitution method to solve linear equations. Upon substituting equation (1) in equation (2), we will get:

0.10(q+5)+0.25q=4.35

0.10q+0.50+0.25q=4.35

0.35q+0.50=4.35

0.35q+0.50-0.50=4.35-0.50

0.35q=3.85

\frac{0.35q}{0.35}=\frac{3.85}{0.35}

q=11

Therefore, Franchise has 11 quarters.

Upon substituting q=11 in equation (1), we will get:

d=11+5

d=16

Therefore, Franchise has 16 dimes.

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Explanation:

We want to avoid having a negative number under the square root. Solving x-4 \ge 0 leads to x \ge 4

So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.

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