173k views
0 votes
Brandon has a cup of quarters and dimes with a total value of $5.55. The number of quarters is five less than three times the number of dimes. How many quarters and how many dimes does Brandon have?

1 Answer

4 votes

Answer:

Explanation:

Let's use variables to represent the unknown quantities in the problem.Let:

q be the number of quarters

d be the number of dimes

We can set up a system of two equations based on the given information:

Equation 1: The total value of the coins is $5.55:

0.25q + 0.10d = 5.55


Equation 2: The number of quarters is five less than three times the number of dimes:

q = 3d - 5

We can substitute the second equation into the first equation for q, since we now know that q = 3d - 5:0.25(3d - 5) + 0.10d = 5.55

Simplifying and solving for d:

0.75d - 1.25 + 0.10d = 5.550.85d = 6.80d = 8So Brandon has 8 dimes. To find the number of quarters, we can use Equation 2:

q = 3d - 5 = 3(8) - 5 = 19

Therefore, Brandon has 19 quarters and 8 dimes.

User Rang
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories