Colby wants to buy some gumballs that cost a nickel each. If he has 8 quarters, 6 dimes, 14 nickels, and 15 pennies, how many can he buy?
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Step-by-Step Solution
Step 1: Convert quarters to nickels
First, we convert the value of quarters into nickels. We know that one quarter is equivalent to 5 nickels.
Step 2: Calculate total nickels from quarters
Since Colby has 8 quarters and each quarter is worth 5 nickels, he has a total of 8×5=40 nickels from his quarters.
Step 3: Convert dimes to nickels
Next, we convert the value of dimes into nickels. We know that one dime is equivalent to 2 nickels.
Step 4: Calculate total nickels from dimes
Colby has 6 dimes, and each dime is worth 2 nickels, so he has a total of 6×2=12 nickels from his dimes.
Step 5: Convert pennies to nickels
Now we consider the pennies. We know that one nickel is equivalent to 5 pennies. Therefore, 1 penny is worth 1/5 of a nickel.
Step 6: Calculate total nickels from pennies
Colby has 15 pennies. To find out how many nickels this amounts to, we divide the number of pennies by 5 to get 15÷5=3 nickels.
Step 7: Calculate total value in nickels
We sum up all the equivalent nickels from quarters, dimes, pennies, and the actual nickels Colby has. This gives a total of 40+12+14+3=69 nickels.
Step 8: Determine number of gumballs
Since each gumball costs one nickel, Colby can buy a number of gumballs equal to the total number of nickels he has. Therefore, he can buy 69 gumballs.