Question

Stephanie weighs 3 times as much as Rachel. Both weights are whole numbers and the sun of their weights is less than 160 pounds. Find the greatest weight of each girl.

Answer 1

The weight of Rachel is less than 40 Pounds.

The weight of Stephanie is less than 120 Pounds

Explanation:

Sum of both both their weights is less than 160 pounds.

Let the weight of Rachel = k Pounds

⇒The weight of Stephanie = (3k) pounds

Now, according to the question:

k + 3k < 160

or, 4k < 160

⇒ k < 160/ 4 = 40

or, k < 40

⇒ The weight of Rachel is less than 40 Pounds.

and The weight of Stephanie is less than (3 k = 3 x 40) 120 Pounds