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5 votes
5 votes
Please help me! This is for my homework and I've tried many possible ways to solve it.

Please help me! This is for my homework and I've tried many possible ways to solve-example-1
User Litmus
by
3.4k points

2 Answers

6 votes
6 votes

Answer:

# of quarters: 76

# of dimes: 96

Explanation:

Thomas has 172 coins in the bucket. Let 'd' describe the number of dimes and let 'q' decide the number of quarters.

So, we can write: d+q=172

The total in the bucket is $28.60. The total amount of money in dimes is equal to the number of dimes multiplied by the value of one dime ($0.10), and the total amount of money in quarters is equal to the number of quarters multiplied by the value of one quarter ($0.25).

So, we can write: 0.1d+0.25q=28.6

We know d+q=172, which means q=172-.

Let's sub this into our second equation to get our answer:

0.1d+0.25q=28.6

0.1(172-q)+0.25q=28.6

17.2-0.1q+0.25q=28.6

0.15q=11.4

q=76

Now let's sub this value for q into our first equation:

d+q=172

d+76=172

d=96

User Joce
by
3.0k points
24 votes
24 votes

Answer:

Equations that represent the problem:

172 = q + d

28.60 = 0.25q + 0.10d

Solved = 96 dimes and 76 quarters

User Plicatibu
by
3.1k points