Three bags contain three consecutive even numbers of marbles. There are 72 marbles in total. How
many marbles are in each bag?

Bag 1- (lowest number)
Bag 2
Bag 3- (highest number)

Respuesta :

Answer:

Step-by-step explanation:

Let the amount of even number of marbles in the first bag be 2x, Since the rest contains consecutive even numbers, the amount of marbles in the second bag will be 2x+2 and the third will be 2x+4.

If there are 72 marbles in total, then;

2x+2x+2+2x+4 = 72

collect the like terms

2x+2x+2x+2+4 = 72

6x+6 = 72

subtract 6 from both sides

6x+6-6 = 72-6

6x = 66

x = 66/6

x =11

Since  First bag = 2x

First bag will contain 2(11) = 22 marbles

Bag 2 = 2x+2

Bag 2 = 2(11)+2

Bag 2 = 24

Bag 3 = 2x+4

Bag3 = 2(11)+4

Bag 3 = 22+4

Bag 3 = 26

Answer:

22, 24, 26.

(notice how it says "even" and "consecutive"...i made the mistake of not reading the problem correctly haha)

Hope this helps! <3