Question

jerrod has c baseball cards. Linda has 38 baseball cards, whih is 5 more than one-third the number jerrod has. whuch equation shows an equality between two different ways of expressing how many baseball cards linda has?

Answer 1

We can express the number of baseball Linda has in two ways.

Either using variable c and y or using their values as follows,

`\Rightarrow y=5+(1)/(3)c`

or
`\Rightarrow 38=5+(1)/(3) * 99`

Explanation:

Given : Jerrod has c baseball cards and Linda has 38 baseball cards.

Also, number of baseball cards Linda has is 5 more than one-third the number Jerrod has.

Mathematically, it can be stated as ,

`\text{Number of baseball cards Linda has}=5+(1)/(3)c`

Let Linda has y number of baseball cards, then

`\Rightarrow y=5+(1)/(3)c`

Also, it is given Linda has 38 baseball cards, so y = 38

`\Rightarrow 38=5+(1)/(3)c`

From here we can solve for c,

`38-5=(1)/(3)c`

`33=(1)/(3)c`

`c=33 * 3`

`\Rightarrow c=99`

Thus, Jerrod has 99 baseball cards.

We can express the number of baseball Linda has in two ways.

Either using variable c and y or using their values as follows,

`\Rightarrow y=5+(1)/(3)c`

or
`\Rightarrow 38=5+(1)/(3) * 99`