QuestionWhat percentage of a collection with 12 pennies, 17 dimes, and 8 quarters are pennies? Round to two significant figures.

Studdy Solution

STEP 1

Assumptions1. The collection contains12 pennies. . The collection contains17 dimes.
3. The collection contains8 quarters.
4. We need to find the percentage of pennies in the collection.

STEP 2

First, we need to find the total number of coins in the collection. We can do this by adding the number of pennies, dimes, and quarters.
$Total\, coins = Number\, of\, pennies + Number\, of\, dimes + Number\, of\, quarters$

STEP 3

Now, plug in the given values for the number of pennies, dimes, and quarters to calculate the total number of coins.
$Total\, coins =12 +17 +8$

STEP 4

Calculate the total number of coins in the collection.
$Total\, coins =12 +17 +8 =37$

STEP 5

Now that we have the total number of coins, we can find the percentage of pennies in the collection. The percentage is calculated by dividing the number of pennies by the total number of coins and then multiplying by100.
$Percentage\, of\, pennies = (Number\, of\, pennies / Total\, coins) \\times100$

STEP 6

Plug in the values for the number of pennies and the total number of coins to calculate the percentage of pennies.
$Percentage\, of\, pennies = (12 /37) \\times100$

STEP 7

Calculate the percentage of pennies in the collection.
$Percentage\, of\, pennies = (12 /37) \\times100 =32.43\%$ The percentage of pennies in the collection is32.43%.

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