Question

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?

Answer 1

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