Trent has a collection of 198 baseball and basketball training cards. he has 4.5 times as many baseball cards as basketball cards. how many baseball cards does trent have in his collection?

There are 162 base ball cards

Solution:

Let "a" be the number of baseball training cards

Let "b" be the number of basket ball training cards

Trent has a collection of 198 baseball and basketball training cards

Therefore,

a + b = 198 eqn 1

He has 4.5 times as many baseball cards as basketball cards

Number of baseball cards = 4.5(number of basketball cards)

a = 4.5b eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

4.5b + b = 198

5.5b = 198

b = 36

Substitute b = 36 in eqn 2

a = 4.5(36)

a = 162

Thus there are 162 base ball cards