At the school sports day, a stall sells 260 bottles of water in total during the afternoon. 45% of these bottles are sold to spectators watching from the st...
Question 1 Report
At the school sports day, a stall sells 260 bottles of water in total during the afternoon. 45% of these bottles are sold to spectators watching from the stands, and the rest are sold to competitors.
Work out how many bottles are sold to competitors. (3)
Answer Details
Since every bottle sold goes to either a spectator or a competitor, the number bought by competitors is found by subtracting the spectators' share from the total sold.
The number of bottles sold to spectators is 45% of the 260 total:
\[260 \times 0.45 = 117\] [1 mark]
The remaining bottles are sold to competitors:
\[260 - 117\] [1 mark]
\[= 143 \text{ bottles}\] [1 mark]
As a check, \(143 \div 260 \times 100 = 55\%\), which is exactly \(100\% - 45\%\), confirming the two groups of buyers make up all 260 bottles.
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