There are 21 nickels in the jar
Step-by-step explanation:
Ellie Mae has a jar that contains quarters and nickels
- There are 15 more nickels than quarters
- The total value is $2.55
We need to find the number of the nickles in the jar
Assume that the number of nickles is x
∵ There x nickles in the jar
∵ There are 15 more nickels than quarters
∴ The number of quarters = x - 15
∵ 1 nickle = 5 cents
∵ 1 quarter = 25 cents
∵ 1 dollar = 100 cents
∵ The total value is $2.55
- Change the total value to cents
∴ The total value = 2.55 × 100 = 255 cents
∵ 5 x + 25(x - 15) = 255
- Simplify it
∵ 5x + 25x - 375 = 255
- Add like terms
∴ 30x - 375 = 255
- Add 375 to both sides
∴ 30x = 630
- Divide both sides 30
∴ x = 21
There are 21 nickels in the jar
Learn more:
You can learn more about the word problems in brainly.com/question/13174281
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