Middle School

Ann, Beth, and Celine wanted to weigh themselves, but the scales they had were broken and would only give readings over 100 kg. They decided to weigh themselves in pairs and calculate their weights from the results.

- Ann and Beth weighed 119 kg
- Beth and Celine weighed 112 kg
- Celine and Ann weighed 115 kg

How much did each of the girls weigh?

Answer :

Answer:

Ann - 61 kg

Beth - 58 kg

Celine - 54 kg

Step-by-step explanation:

We use Algebra to solve this. We give unknown to one of them. I have decide to use x here and give it to earn.

Ann = x

Ann + beth = 119 meaning ( 119 - x) = beth

beth = 119 - x

celine + ann = 115 meaning(115 - x) = celine

celine = 115 - x

know we know>

Ann = x

beth = 119 - x

celine = 115 - x

and beth + celine= 112 kg meaning =>

119 - x + 115 - x = 112

we collect the like terms. 119 and 115 cross the equal sign to the other side.

-x-x = 112 - 119 - 115

-2x = -122

-2x/-2= -122/-2

x = 61

therefore ann has 61 kg

beth has 119 - 61 = 58 kg

celine has 115 - 61 = 54 kg

If you need any clarification or more explanation pls do mention at the comment section.

Hope this helps and if it does pls mark as branliest answer thx.

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