Mark and Don are planning to sell each other their marble collections at a garage sale. If Don has 1 more than 3 times the numbe

Question

3 years ago

10

r of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113

1 answer:

Volgvan · Answer 1 · 2022-01-11T00:52:20+03:00

Answer: Mark has 28 marbles while Don has 85 marbles.

Step-by-step explanation:

Let x represent the number of marbles that Mark has.

Let y represent the number of marbles that Don has.

If Don has 1 more than 3 times the number of marbles Mark has, it means that

y = 3x + 1

The total number of marbles is 113. It means that

x + y = 113- - - - - - - - - - - - 1

Substituting y = 3x + 1 into equation 1, it becomes

x + 3x + 1 = 113

4x + 1 = 113

4x = 113 - 1 = 112

x = 112/4

x = 28

y = 3x + 1 = 3 × 28 + 1

y = 85