Question

John is 1 1/3 times as heavy as Mary. If their total mass is 112 kg, find the mass of John.​

Answer 1

Answer:

john is 1 1/3 times as heavy as Mary.

1 and 1/3 is equal to 4/3

3/3 + 1/3 = 4/3

So John is 4/3 Mary's mass

Let's make Mary's mass = x

Then John's mass = 4x/3

If their total mass is 112 kg, find the mass of john.

x + 4x/3 = 112

(one can be written as 3/3 to get a common denominator)

3x/3 + 4x/3 = 112

7x/3 = 112

7x = 112*3

7x = 336

x = 336/7

x = 48

Mary's mass is 48 kg

If their masses combine to make 112 kg then; Mary + John = 112

john + 48 = 112

john = 112 - 48

john = 64 kg

Answer 2

QUESTION:

• John is 1 1/3 times as heavy as Mary. If their total mass is 112 kg, find the mass of John.

ANSWER:

$\\ \\ \\ let \: \: john \: \: be \: \: \frac{11}{3} x \\ \\ \\ \\ \\ atq : \\ \\ \\ \\ x + \frac{11}{3} x = 112 \\ \\ \\ \\ 3x + 11x = 3 \times 112 \\ \\ \\ \\ x = \frac{3 \times 112}{14} \\ \\ \\ \\ = 24kg$