Question

Elise and Miguel both collect baseball cards. Miguel has two more than two times as many cards as Elise. Together they have 971 cards.

a. Write an equation to represent this solution.

b. How many cards does each person have?

And I have to show my work.

Answer 1

If E is the number of cards owned by Elise, and M is the number of cards owned by Miguel, what would be an equation showing the total number of cards?

Answer 2

What would be an equation showing how many cards Miguel has if Elise has E cards?

Answer 3

My teacher didnt explain how to do this she just let us do this by ourselves so i need alot of help.

Answer 4

Well, you've got everything you need right there...

No, @Mias that isn't correct.

Answer 5

If Miguel has 2 times the cards, that isn't addition of 2, that's multiplication by 2...

Answer 6

Let's help Lauryn figure it out rather than just telling her what to do, okay?

Answer 7

@laurynalexandria If Elise has E cards and Miguel has M cards, and there are 971 cards, what is the equation that represents that?

Answer 8

this is really confusing ugh.

Answer 9

Are there any other cards here besides those owned by Elise and Miguel?

Answer 10

no

Answer 11

Okay, then the equation is Elise's cards + Miguel's cards = 971. Right?

Answer 12

Yea would it be times 2 for miguel then?

Answer 13

Now, what we do next depends on what you know about solving systems of equations. Do you know about substitution or elimination? Have you ever solved something like

x+y = 5
x+2y = 7
?

Answer 14

In like 6th grade i barely remember.

Answer 15

Okay, we can write the equations here in one of two ways:

1) with one variable
2) with two variables

I think writing the equations is a bit clearer using 2 variables, but it is a little trickier to solve. Shall we do it both ways?

Answer 16

Okie c:

Answer 17

I'll do the 1 variable way first.

We'll let E be the number of cards that Elise has. Miguel has 2 times as many cards as Elise. That means that Miguel has 2*E cards, right?