Question

gage has 3 footballs and 2 basketball that weigh a total of 5.44 pounds . Each basketball weight 1.37 pounds . Which equation and solution can be used to determine f , the weight of each football

Answer 1

f = 0.9 pounds.

Explanation:

Let f = weight of the football.

Let b = weight of the basketball.

Given the following data;

Weight of each basketball, b = 1.37 pounds

Translating the word problem into an algebraic equation, we have;

`3f + 2b = 5.44` ..........equation 1

`b = 1.37` ....................equation 2

Substituting equation 2 into equation 1, we have;

`3f + 2(1.37) = 5.44`

`3f + 2.74 = 5.44`

Rearranging the equation, we have;

`3f = 5.44 - 2.74`

`3f = 2.7`

`f = (2.7)/(3)`

f = 0.9 pounds

Therefore, the weight of each football is 0.9 pounds.