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Linear and Quadratic Equations · Question 32 of 66

Question 32

EasyOriginal question

A 150 cm ribbon is cut into two pieces so that one piece is four times as long as the other. How long is the shorter piece?

Options for question 32

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Let the shorter piece be ss cm; the longer is 4s4s cm.

  2. s+4s=150s + 4s = 150, so 5s=1505s = 150.

  3. s=30s = 30 cm.

Worth noting

37.5 cm is 150÷4150 \div 4: the pieces together make 5 parts, not 4. 120 cm is the longer piece.

Concept
Splitting a total in a given multiple
Typical time
40 s
Your time
—
The rule this testsWord problems into equations
Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.

Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.