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

One possible system of equations would be

h=3k
h+3k=95

Since Horatio (h) weighs 3 times as much as Kimberly (k), we set h=3k.  Using this, their sum together is 95.

Answer 2

Answer

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

$k = \frac{95}{4}$

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.