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Pwint is 60kg heavier than Sandi. She is 5 times as heavy as Sandi. What is the total mass of Pwint and Sandi?

Pwint is 60 kg 60 \mathrm{~kg} heavier than Sandi. She is 55 times as heavy as Sandi. What is the total mass of Pwint and Sandi?

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Full solution

Q. Pwint is 60 kg 60 \mathrm{~kg} heavier than Sandi. She is 55 times as heavy as Sandi. What is the total mass of Pwint and Sandi?
  1. Set Equations Equal: Let Sandi's mass be SS kg. Pwint is 6060 kg heavier and 55 times as heavy as Sandi.\newlinePwint's mass = S+60S + 60 kg and also Pwint's mass = 5S5S kg.\newlineSet the equations equal to each other: S+60=5SS + 60 = 5S.
  2. Solve for S: Solve for SS: S+60=5SS + 60 = 5S.\newlineSubtract SS from both sides: 60=4S60 = 4S.\newlineDivide both sides by 44: S=15S = 15 kg.\newlineSandi's mass = 1515 kg.
  3. Find Sandi's Mass: Find Pwint's mass using 5S5S: 5×15=75 kg5 \times 15 = 75\,\text{kg}. Pwint's mass = 75 kg75\,\text{kg}.
  4. Find Pwint's Mass: Add the masses of Pwint and Sandi to find the total mass: 75 kg+15 kg=90 kg75\,\text{kg} + 15\,\text{kg} = 90\,\text{kg}.

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