Taylor Wilson: Attempt 1
Question 2 (1 point)
Mark and Don are planning to sell each of their marble collections at a garage sale. If
Don has 5 more than 4 times the number of marbles Mark has, how many does Don
have to sell if the total number of marbles is 75?

Respuesta :

Answer:

Don has to sell 61 marbles.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Don has to sell x marbles.

Mark has to sell y marbles.

The total number of marbles is 75:

This means that:

[tex]x + y = 75[/tex]

Since we want to find x.

[tex]y = 75 - x[/tex]

Don has 5 more than 4 times the number of marbles Mark has

This means that:

[tex]x = 4y + 5[/tex]

Since [tex]y = 75 - x[/tex]

[tex]x = 4(75 - x) + 5[/tex]

[tex]x = 300 - 4x + 5[/tex]

[tex]5x = 305[/tex]

[tex]x = \frac{305}{5}[/tex]

[tex]x = 61[/tex]

Don has to sell 61 marbles.