Question

Horatio weighs three times as much as Kimberly, and together they weigh a total of 95 kilograms. If h represents Horatio's weight, and k represents Kimberly's weight, which system of equations could you use to determine how much each weighs?

Answer 1

Find out the which system of equations could you use to determine how much each weighs .

To prove

As given

Horatio weighs three times as much as Kimberly.

together they weigh a total of 95 kilograms .

h = represents Horatio's weight .

k = represents Kimberly's weight.

As

Horatio weighs three times as much as Kimberly .

Horatio weighs becomes (h) = 3k

Than the equation becomes

h + k = 95

put h = 3k in the above equation

3k + k = 95

4k = 95

k = 23.75 kilogram

Put in the equation

h = 3k

= 3 × 23.75

= 71.25 kilogram

Therefore the weight of the Horatio's is 71.25 kilogram.

and the weight of the Horatio's is 23.75 kilogram.

Explanation:

Answer 2

Find out the which system of equations could you use to determine how much each weighs .

To prove

As given

Horatio weighs three times as much as Kimberly.

together they weigh a total of 95 kilograms .

h = represents Horatio's weight .

k = represents Kimberly's weight.

As

Horatio weighs three times as much as Kimberly .

Horatio weighs becomes (h) = 3k

Than the equation becomes

h + k = 95

put h = 3k in the above equation

3k + k = 95

4k = 95

`k = (95)/(4)`

k = 23.75 kilogram

Put in the equation

h = 3k

= 3 × 23.75

= 71.25 kilogram

Therefore the weight of the Horatio's is 71.25 kilogram.

and the weight of the Horatio's is 23.75 kilogram.