A shopkeeper buys a box of 90 chocolate bars from a wholesaler to sell in her corner shop. She sells \(\frac{2}{3}\) of the bars individually to customers, ...
Question 1 Report
A shopkeeper buys a box of 90 chocolate bars from a wholesaler to sell in her corner shop. She sells \(\frac{2}{3}\) of the bars individually to customers, and donates \(\frac{1}{9}\) of the bars to a school fair nearby.
- Work out the number of bars sold individually. (2)
- Find the number of bars remaining after the individual sales and the donation. (2)
Answer Details
This question tests taking two separate fractions of the same total and finding what remains.
(a) Bars sold individually are \(\frac{2}{3}\) of the total:
\[\frac{2}{3} \times 90 = 60 \text{ bars}.\][2]
(b) Bars donated are \(\frac{1}{9}\) of the total:
\[\frac{1}{9} \times 90 = 10 \text{ bars}.\]The bars remaining after both are subtracted from the total:
\[90 - 60 - 10 = 20 \text{ bars}.\][2]
Both fractions here are taken from the same original 90 bars, so the remaining amount is found by direct subtraction rather than by working through a reduced remainder at each stage.
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