Marciella has a bag that contains 35 nickels and quarters. The total value of these coins is less than $2.50. What is the maximum number of quarters that meets these conditions?
figure out how much nickles is worth 35x0.5= 1.75
using the total 2.50
find what is left over 2.50-1.75=0.75
figure out how many quarters is equal to 75 cent 0.75divide 0.25= 3
but since it says value than 2.50 then ill be 1 quarter less
so the answer is 2 quarters which the whole amount worth $2.25
To find the maximum number of quarters that meet the given conditions, we need to determine the total value of the coins and ensure that it is less than $2.50.
1. Start by determining the value of a quarter and a nickel:
- The value of a quarter is $0.25.
- The value of a nickel is $0.05.
2. Multiply the number of quarters by the value of a quarter ($0.25) to find the total value contributed by the quarters.
3. Multiply the number of nickels by the value of a nickel ($0.05) to find the total value contributed by the nickels.
4. Add the total values of the quarters and nickels to find the overall total value.
5. Compare the total value to $2.50:
- If the total value is less than $2.50, increment the number of quarters and repeat steps 2-4.
- If the total value is greater than or equal to $2.50, stop incrementing and note the previous number of quarters as the maximum.
By following these steps, you can determine the maximum number of quarters that meets the given conditions.