196k views
0 votes
If you have 3 dimes, one less penny than twice as many dimes and 2 less quarters than 3 times as many dimes, then how much total money do you have?

$2.11
$2.10
$1.10
$1.11

2 Answers

4 votes

Answer:

Explanation:

User Pinas
by
7.3k points
4 votes

Answer:

$2.11

Explanation:

Let's call the number of dimes x.

The number of pennies is two times the number of dimes minus 1, so 2x - 1.

The number of quarters is three times the number of dimes minus 2, so 3x - 2.

So, we know that we have x dimes, 2x - 1 pennies, and 3x - 2 quarters

In terms of money, we can find the total by converting each coin to its value in dollar.

x dimes = x * $0.10 = $0.10x

(2x - 1) pennies = (2x - 1) * $0.01 = $0.02x - $0.01

(3x - 2) quarters = (3x - 2) * $0.25 = $0.75x - $0.50

Now we can add these three equations to find the total money.

$0.10x + $0.02x - $0.01 + $0.75x - $0.50 = $0.87x - $0.51

Given the x = 3, we can substitute it in the above equation

$0.87*3 - $0.51 = $2.11

So, the answer is $2.11

User Aitor Martin
by
7.4k points