Seven times the number of quarters in a coin collection is the same as three times the number of quarters increased by 20. How many quarters in the collection

There are 5 quarters in each collection.

Explanation:

Let the number of quarters in a collection be x.

7 times the number of quarters in a collection = 7*x = 7x

3 times the number of quarters in a collection = 3*x = 3x

Increasing 3x by 20 = 3x + 20

Therefore:

7x = 3x + 20

=> 7x - 3x = 20

4x = 20

x = 20/4 = 5

Therefore, there are 5 quarters in each collection.

5

Explanation:

Let P be the number of quarters in a coin collection.

Seven times the number of quarters in a coin collection is expressed as;

7*P

= 7P ... (1)

Also three times the number of quarters can be expressed as 3P. If this value is increased by 20, the resulting expression will be;

3P+20 (increment means addition) ... (2)

If the two expression are the same then equation 1 = equation 2 i. e

7P = 3P + 20

7P-3P = 20

4P = 20

P = 20/4

P = 5

Therefore the number of quarters in the coin collection is 5