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Foundation June 2019 Paper 1 Q15

EduqasFoundationCurrent spec3 marksDirect & Inverse ProportionRatio & Basic Proportion

15. Terry is doing his homework.

(a)

He is trying to find the value of \(x\) when

\(x : 2 = 30 : 12\)

He writes:

Handwritten working: x : 2 = 30 : 12 with an arrow from 30 to 12 labelled −18, then The rule is −18, So x = 20

Explain why Terry is wrong. [1]

(b)

Terry’s next question is:

A factory production line makes 275 thousand cans of drink in 5 hours.
How many hours would it take for this production line to make
165 thousand cans of the same drink?
You may assume each can is the same size.

Terry thinks the answer is 3 hours.

Is Terry correct?

Yes ☐     No ☐

Show how you decide. [2]