Ben has a collection of 15 coins in quarters and dimes. There are 7 quarters in the collection. Is the ratio of quarters to dimes the same as dimes to quarters ?
I need help
7 quarters/8 dimes
is not
8 dimes / 7 quarters
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Ben has a collection of 15 coins in quarters and dimes.
There are 7 quarters in the collection.
Write the ratio of quarters to dimes in at least two
different ways.
15 total coins, 7 quarters, and ___ dimes to find the amount of dimes subtract 15 and 7.
15
- 7
------- the question asks the ratio of quarters to dimes
8 dimes
The ratio of quarters to dimes in at least two
different ways is 7:8 and 7 to 8.
To determine if the ratio of quarters to dimes is the same as the ratio of dimes to quarters, we need to calculate the number of dimes in Ben's collection.
We know that there are 7 quarters in the collection, so we can subtract that from the total number of coins in the collection:
Total number of coins - Number of quarters = Number of dimes
15 - 7 = 8
There are 8 dimes in Ben's collection.
Now, we can calculate the ratio of quarters to dimes:
Ratio of quarters to dimes = Number of quarters / Number of dimes
Ratio of quarters to dimes = 7 / 8
To determine if this ratio is the same as the ratio of dimes to quarters, we need to calculate the ratio of dimes to quarters:
Ratio of dimes to quarters = Number of dimes / Number of quarters
Ratio of dimes to quarters = 8 / 7
Now we can compare the two ratios:
Ratio of quarters to dimes = 7 / 8
Ratio of dimes to quarters = 8 / 7
Since both ratios have the same values, the ratio of quarters to dimes is indeed the same as the ratio of dimes to quarters in Ben's collection.