MATH SOLVE

4 months ago

Q:
# A collection of 108 coins containing only quarters and nickels is worth $21.Which value could replace q on the chart?2110821 – n108 – n

Accepted Solution

A:

Answer:The value could replace q is 108 - n ⇒ the last answerStep-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