SAT Math Multiple Choice Question 775: Answer and Explanation

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Question: 775

10. The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?

  • A. 96
  • B. 120
  • C. 140
  • D. 144

Correct Answer: D

Explanation:

D

Problem Solving (rates) MEDIUM

Let's call the three numbers a, b, and c.

If their sum is 240,

a + b + c = 240

Let's say the largest number is c. If this is 50% larger than the sum of the others,

c = 1.5(a + b)

Divide by 1.5:

Images

Substitute Images into the first equation:

Images

Multiply by 1.5:

c + 1.5c = 360

Simplify:

2.5c = 360

Divide by 2.5:

c = 144

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