Question

Todd caught four times as many fish this year than Erie. Together they caught a total of 75 fish. Which of these equations represents how many fish they caught.A. 4x = 75B. x + 4x =75C. x + 4 =75D. 4x + 75 = x

Answer 1

We have that :

• Todd ,4x

,

• Erie, x

,

• The variable, x ,is the number of fish.

,

• The total was ,75, fish.

Then, we have:

`x+4x=4x+x=75`

With this equation, we can represent how many fish they caught (option B).

We can check this.

`x+4x=75\Rightarrow5x=75\Rightarrow(5)/(5)x=(75)/(5)\Rightarrow x=15`

In this way, Todd caught 60 (15*4) and Erie 15 (both 75).