Question

The total mass of Alice and Bernice is 90.45 kg. the total mass of Alice and mei ling is 61.2 kg. Bernice is 4 times as heavy as mei ling. What is Alice's mass?(please show working)

Answer 1

Answer:

Weight of Alice =  51.45 kg

Step-by-step explanation:

Total mass of Alice and Bernice = 90.45 kg

Total mass of Alice and mei ling = 61.2 kg

Let Bernice weight = 4x kg

Let Mei ling weight = x kg

Let Alice weight = y kg

So,

y+4x = 90.45

y = 90.45-4x

The other:-

y+x = 61.2

y = 61.2 -x

Hence,

90.45-4x = 61.2 -x

=>90.45-61.2 = 3x

=>29.25 = 3x

=>9.75 = x

Hence,

Weight of Mei ling = 9.75 kg

Weight of Bernice = 4x = 4*9.75 = 39 kg

Weight of Alice = y = 61.2-x = 61.2-9.75 = 51.45 kg

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