Seven identical bowling balls weigh the same as four identical canoes. If three of the canoes weigh a total of 84 pounds, how many pounds does one of the bowling balls weigh?

Respuesta :

Answer:

12 pounds

Step-by-step explanation:

"Seven identical bowling balls weigh the same as three identical canoes. If one of the canoes weighs a total of 28 pounds, how many pounds does one of the bowling balls weigh"

3 canoes =28x3=84

84/7=12

12 pounds

Weight of one of the identical bowling balls is equals to 16 pounds.

What is weight?

" Weight of an object is equals to the product of the mass of the object and acceleration due to gravity which acts on it."

According to the question,

Let x represents number of identical bowling balls

y represents number of identical canoe

Situation 1: Seven identical bowling balls weigh same as four identical canoes , it represents a equation:

7x  = 4y                                   ____(1)

Situation2: Three canoe weigh a total of 84 pounds, it represents a equation:

3y = 84

⇒ y = 84 / 3

⇒ y = 28 pounds

Substitute the value of y in equation (1) we get,

7x = 4 (28)

⇒x = 16 pounds

Hence, weight of one of the identical bowling balls is equals to 16 pounds.

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