Question

together Charlotte and vinny have 20 marbles. charlotte has 4 times as many as vinny. how many marbles does Charlotte have, this is an algebra 2 question.

Answer 1

x+y=20

x=4yx=4y

Substitute the given equation for x.

4y+y=20

4y+y=20

Collect all like terms.

5y=20

Divide both sides by 5.

y=4y=4

Vinny has 4 marbles.

Let y = 4.

x=4(4)

x=16

Answer 2

`\Huge \boxed{\mathrm{16 \ marbles}}`

Explanation:

Let the number of marbles that Charlotte has be x.

Let the number of marbles that Vinny has be y.

`x+y=20`

`x=4y`

Substitute for x.

`4y+y=20`

Combine like terms.

`5y=20`

Divide both sides by 5.

`y=4`

Vinny has 4 marbles.

Let y = 4.

`x=4(4) \\ \\ \\ x=16`

Charlotte has 16 marbles.