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2 years ago

A collection of 108 coins containing only quarters and nickels is worth $21 wich value could replace q on the chart?

Mathematics

2 answers:

Greeley [361]2 years ago

5 0

Answer:

There would be 30 nickels and 78 quarters.

Step-by-step explanation:

To find this, start by creating a system of equations in which x is the number of nickels and y is the number of quarters. Make the first equation the total number of coins.

x + y = 108

Make the second equation based on the value.

.05x + .25y = 21

Now multiply the second equation by -4 and add together to get the y value to cancel.

x + y = 108

-.2x - y = -84

--------------------

.8x = 24

x = 30

Now use this value to find y.

x + y = 108

30 + y = 108

y = 78

Makovka662 [10]2 years ago

5 0

Answer:

There would be 30 nickels and 78 quarters.

Step-by-step explanation:

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Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
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