Answer:
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.
Answer:
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
