Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark have?

Answer 1

Q = 3N Q = no. quarters; N = no. nickels

qtr is $0.25; nickel is $0.05. If you don't like working with decimals, change to cents.

25Q + 5N = 160 Then substitute for Q

25(3N) + 5N = 160 -> 75N + 5N = 160 -> 80N = 160, so N = 2 nickels.

Then Q = 3N = 3(2) = 6 quarters.

Check: 2($0.05) + 6($0.25) = $0.10 + $1.50 = $1.60

Answer 2

Hi,

If Mark had 3 times as many quarters... we have: 3x

Also, the value of a quarter is 0.25.

So we have:

3x (times) 0.25

Next, let's figure out nickles:

so we are given that he only had "nickles" which means nickles are not getting multiplied by 3 like the quarter.

So we only have x.

But the value of a nickel is 0.05

So we have:

0.05x

Now together they add up to 1.60:

So,

3x times 0.25 + 0.05x = $1.60

Simplify:

0.75x + 0.05x = 1.60

Solve for x:

0.8x = 1.60

x = 2

Now plug the value x back into nickles and quarter expressions and we get:

3x --> 3(2) = 6 quarters

x ---> (2) = 2 nickles

I hope this helps!