Question

Fiona has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $25.10.

How many quarters and how many nickels are in the jar?



A.


88 quarters; 62 nickels


B.


80 quarters; 70 nickels


C.


75 quarters; 75 nickels


D.


62 quarters; 88 nickels

Answer 1

help please!!

Answer 2

Assume x quarters and y nickels.

x + y = 150 (1)

0.25x + 0.05y = 25.10 (2)

Solve (1) and (2)

Answer 3

ok

Answer 4

Do you know how to solve (1) and (2) by elimination?

Answer 5

To eliminate y, multiply first equation by -0.05 and add it to the second equation.

Answer 6

okay im following you

Answer 7

sorry i dont get it that well

Answer 8

x + y = 150 (1)
0.25x + 0.05y = 25.10 (2)
To eliminate y, multiply (1) by -0.05 and add it to (2):
-0.05x - 0.05y = -7.5
0.25x + 0.05y = 25.10 (2)
add:
0.2x = 17.6
x = 17.6 / 0.2 = 88
put x = 88 in (1):
88 + y = 150
y = 150 - 88 = 62

There are 88 quarters and 62 nickels.