Eric has a jar of quarters and dimes. He had 48 coins in the jar. The total value of the coins is $7.35. How many quarters are. in the jar?

17 quarters and 31 dimes are in the jar

Step-by-step explanation:

First, you need to set up two equations based on the information given.

First is an equation for the total number of coins:

48 = d + q

d = dimes

q = quarters

Second is an equation for the total amount in the jar and the respective amount per variable (d = .1 , q = .25).

7.35 = .1d + .25q

Using the first equation, you need to solve for one variable. In this case well solve for d, so we can later plug it in to solve for q.

48 = d + q

d =  48 - q

Next, we can plug our formula for d into our second equation, so we only have one variable to solve for, q.

.1(48-q) +.25q = 7.35

4.8 - .1q + .25q = 7.36

4.8 + .15q = 7.35

.15q = 2.55

q = 17

Finally, to solve for d with a number, we can plug q = 17 back into our first formula : 48 = d + q

48 = 17 + d

d = 31

I hope this helps!

-TheBusinessMan

16.9 times 2.85

step-by-step explanation:

using pemdas, (order of operations) you'll see the answer is 24.