A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85 how many quarters are in the piggy bank in your final answer include all nessescary calculations Please Help!!!
Accepted Solution
A:
The main idea here is to "translate" the words into maths. First we need to identify the unknowns and label these.
We need to know the number if dimes and the number of quarters. So lets say x: number of dimes y: number of quarters
Now lets write equations from the written problem. We know that there are 36 coind total, thus: x + y = 36 We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents. x are the number of dimes, their value is x*10 y are quarters with value of y*25 thus: 10x+25y=585
We have two equations and two unknowns now, that needs to be solved to get the answer.