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?

Respuesta :

Answer:

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

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

[tex]\Rightarrow y=5+\frac{1}{3}c[/tex]

or  [tex]\Rightarrow 38=5+\frac{1}{3} \times 99[/tex]

Step-by-step 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 ,

[tex]\text{Number of baseball cards Linda has}=5+\frac{1}{3}c[/tex]

Let Linda has y number of baseball cards, then

[tex]\Rightarrow y=5+\frac{1}{3}c[/tex]

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

[tex]\Rightarrow 38=5+\frac{1}{3}c[/tex]

From here we can solve for c,

[tex]38-5=\frac{1}{3}c[/tex]

[tex]33=\frac{1}{3}c[/tex]

[tex]c=33 \times 3[/tex]

[tex]\Rightarrow c=99[/tex]

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,

[tex]\Rightarrow y=5+\frac{1}{3}c[/tex]

or  [tex]\Rightarrow 38=5+\frac{1}{3} \times 99[/tex]