sofia recycled 3 pounds less than the amount james recycled. hannah recycled 3 times the amount sofia recycled. if the three recycled a tota

Question

sofia recycled 3 pounds less than the amount james recycled. hannah recycled 3 times the amount sofia recycled. if the three recycled a total of 73 pounds, how many pounds did sofia recycle?

0

Answers ( No )

    0
    2021-09-06T06:48:00+00:00

    Let the amount James recycled be x.

    Sofia recycled 3 pounds less than the amount James recycled.

    Therefore, the amount Sofia recycled is x – 3.

    Hannah recycled 3 times the amount Sofia recycled.

    Therefore, the amount Hannah recycled = 3(x – 3).

    The three recycled a total of 73 pounds.

    Therefore, x + (x – 3) + 3(x – 3) = 73

    x + x – 3 + 3x – 9 = 73

    5x – 12 = 73

    5x = 73 + 12

    5x = 85

    Divide both sides by 5.

    x = 17

    Number of pounds that Sofia recycled = x – 3 = 17 – 3 = 14.

    Hence, Sofia recycled 14 pounds.

    0
    2021-09-06T06:48:02+00:00

    Answer  

    Find out the  how many pounds did sofia recycle .

    To prove

    Let us assume that the james recycled be = x

    As given

    sofia recycled 3 pounds less than the amount james recycled.

    hannah recycled 3 times the amount sofia recycled.

    Sofia recycled be = x – 3

    hannah recycled be = 3 × (x – 3)

    As given

    the three recycled a total of 73 pounds .

    Than the equation becomes

    x + x – 3 + 3 × (x – 3) = 73

    x + x – 3 + 3x – 9 = 73

    5x – 12 = 73

    5x = 73 + 12

    5x = 85

    x= \frac{85}{5}

    x = 17

    Sofia recycled be = x – 3

                                = 17 – 3

                               = 14 pounds

    Therefore 14 pounds sofia recycled .

Leave an answer

Browse
Browse