Answer:
He has 19 quarters.
Step-by-step explanation:
To solve this, we can set up a system of equations.
Let's first name our variables.
x: number of quarters
y: number of dimes
Using this, we can write the following equations.
Number of coins: x+y=27
Total Value: 0.25x+0.1y=5.55
We can rewrite the first equation to x=27-y by subtracting y from btoh sides. This way, we can substitute 27-y in for x.
0.25(27-y)+0.1y=5.55
Distribute.
6.75-0.25y+0.1y=5.55
Combine like terms.
6.75-0.15y=5.55
Subtract 6.75 from both sides.
-0.15y=-1.2
Divide both sides by -0.15
y=8
There are 8 dimes.
We can use that to find the number of quarters by plugging it in to one of the equations.
x+y=27
x+8=27
Subtract 8 from both sides.
x=19
He has 19 quarters.
