## A collection of 108 coins containing only quarters and nickels is worth \$21. Which value could replace q on the char

Question

A collection of 108 coins containing only quarters and nickels is worth \$21.

Which value could replace q on the chart?

21
108
21 – n
108 – n

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3 days 2021-10-10T19:33:56+00:00 2 Answers 0

The value could replace q is 108 – n ⇒ the last answer

Step-by-step explanation:

* Lets study the values of quarters and nickles

– One quarter = 25 cents

– One nickle = 5 cents

– The number of coins is 108

– The coins are nickles or quarters only

– The coins worth \$ 21

* Lets solve the problem

∵ The number of coins is 108 coins

– Let the quarter is q and the nickel is n

∴ q + n = 108 ⇒ (1)

∵ The coins worth \$21

∵ \$ 1 = 100 cents

∴ \$21 = 21 × 100 = 2100 cents

∵ The quarter = 25 cents

∵ The nickels = 5 cents

∴ 25q + 5n = 2100 ⇒ (2)

– To find the value which replace q use equation (1)

∵ q + n = 108 ⇒ subtract n from both sides

∴ q = 108 – n

* The value could replace q is 108 – n