Question

Erica's collection has 3 times as many action figures in it as Ricardo's collection. They have 68 action figures together. How many action figures does Erica have? How many action figures does Ricardo have

Answer 1

Answer:

Erica has 51 action figures and Ricardo has 17 action figures.

Step-by-step explanation:

First, label your variables.

x=the number of action figures Erica has

y=the number of action figures Ricardo has

You know that they have 68 total action figures so x+y=68.

Erica has 3 times as many as Ricardo so 3y=x. Then solve for x and y.

x+y=68    3y=x   (Substitue 3y for x)

3y+y=68   (Then combine like terms)

4y=68  (Divide each side by 4)

y= 17

Now that you know that Ricardo has 17 action figures, you can plug 17 in for y in either equation to find x.

3(17)=x

x=51

To check your answers, you can plug them back into the original equations.

Answer 2

Answer:

Erica:51 action figures; Ricardo: 17 action figures

Reason:

68/4=17

17*3=51<- this is the amount of action figures that Erica has.

17 <-this is the amount of action figures that Ricardo has.

17 (Ricardo) + 51 (Erica) = 68 (total amount)