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likoan [24]
1 year ago
10

Mark and don are planning to sell each of their marble collections at a garage sale. if don has 2 more than 4 times the number o

f marbles mark has, how many does each boy have to sell if the total number of marbles is 102?
Mathematics
1 answer:
Sonbull [250]1 year ago
7 0

If the total number of marbles is 102, Mark has 20 marbles while Don has 82 marbles.

To answer this word problem, read and understand first the problem.

"Don has 2 more than 4 times the number of marbles Mark has."

Out of this statement, we can come up with the expression,

Don = 2 + (4 x Mark)     (equation 1)

Next, the total number of marbles they have is 102.

Don + Mark = 102     (equation 2)

From this expression, if we subtract the number of marbles Mark has from the total number, we can get the number of marbles Don has.

Don = 102 - Mark    (equation 3)

Equating the 1st and 3rd equation,

Don = 2 + (4 x Mark) = 102 - Mark

2 + (4 x Mark) = 102 - Mark

let x = Mark's

2 + (4x) = 102 - x

4x + x = 102 - 2

5x = 100

x = 20

Mark has 20 marbles.

Meanwhile, use either the 1st or 3rd equation to know the number of marbles Don has.

Don = 102 - Mark    (equation 3)

Don = 102 - 20

Don = 82

For more examples of mathematical expressions to solve word problems:, brainly.com/question/13818690.

#SPJ4

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