How many dimes do you need to make a dollar
Asked by admin @ in Mathematics viewed by 410 People
A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are there?
Asked by admin @ in Mathematics viewed by 410 People
A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are there?
Answered by admin @
There are 42 dimes and 14 nickels there if the collection of dimes and nickels is worth $5.60
First, we need to convert dimes and nickel to pennies to have:
1 dime = 10 pennies
1 nickel = 5 pennies
Since the ratio of dimes to nickels is 3:2, this shows that we have 30 dimes and 10 pennies
Total pennies = 30 + 10 = 40 pennies
Since the total collection of dimes and nickels is worth $5.60, this means that the total collections in pennies are 560 pennies ($1 is 100 pennies)
Number of pennies for the ratio of 30 = 30/40 * 560
Number of pennies for the ratio of 30 = 420
Number of dimes = 420/10 = 42 dimes
Number of pennies for the ratio of 10 = 10/40 * 560
Number of pennies for the ratio of 10 = 140
Number of nickel = 140/10 = 14 nickels
Hence there are 42 dimes and 14 nickels there if the collection of dimes and nickels is worth $5.60
Learn more here: brainly.com/question/25090040
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