Write an equation to represent the following situation:

Regina has 120 coins, consisting of quarters and dimes. She has 10 more dimes than quarters. How many quarters and dimes does she have?

so Regina has 120 coins=total 120=total we will use q=number of quarters and d=number of dimes 120=d+q she has 10 more dimes than quarters d=q+10 so if we susitute this into the equation then we get 120=(q+10)+q add like terms 120=2q+10 subtract 10 from both sides 110=2q divide both sides by 2 55=q she has 55 quarters subtitute into second equation d=10+55 d=65
dimes=65 quarters=55

Answered by apologiabiology | 2024-06-10

Regina has 55 quarters and 65 dimes. This is determined by using two equations: one representing the total number of coins and the other relating the number of dimes to the number of quarters. By substituting and solving the equations, we found the number of each type of coin.
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Answered by apologiabiology | 2024-12-26