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:

Step-by-step explanation:

Let the mass of Alice , Bernice , Mei be a,b,m

a+b=90.45 ------ (1)

a+m=61.2 --------(2)

b=4m ---------(3)

Substitute b = 4m in (1) and solve .

a+4m=90.45

a+m=61.2

3m= 29.25

m=9.75kg

a+m=61.2

a=61.2-9.75 = 51.45kg

b=39kg

Answer 2

Answer:

Mass of Alice = 51.45 kg

Step-by-step explanation:

• Suppose the mass of Mei ling is = m

        The mass of Bernice = 4 times as heavy as Mei ling

                                           = 4 × mass of Mei ling = 4m

• Total mass of Alice and Bernice = 90.45 kg

        Mass of Alice + mass of Bernice = 90.45 kg

        Mass of Alice = 90.45 kg - mass of Bernice = 90.45 kg - 4m

       ∴ Mass of Alice = 90.45 kg - 4m

• Total mass of Alice and Mei ling = 61.2 kg
•  Mass of Alice + mass of Mei ling = 61.2 kg
• (90.45 kg - 4m) + m = 61.2 kg
• 90.45 kg - 3m = 61.2 kg
• 3m =  90.45 kg - 61.2 kg = 29.25 kg
•  m = $\frac{29.25}{3}$ = 9.75 kg
• 4m = 39 kg
• Mass of Alice = 90.45 kg - 4m = 90.45 kg - 39 kg =
• 51.45 kg

For similar questions visit the links given below:

https://brainly.in/question/14295030

https://brainly.in/question/9354217