Mrs Goh had some fruits in a basket. 35 of the fruits were mangoes and the rest were lemons. The mass of each mango was 300 g and the mass of each lemon was 100 g.
- The total mass of all the fruits was 8.8 kg. How many fruits were there in the basket?
- Mrs Goh then added more mangoes to the basket. The number of mangoes increased by 25%. What is the total mass of all the fruits in the basket in the end? Give your answer in kilograms.
Need a hint?
Think of the fruits in groups of 5: 3 mangoes and 2 lemons. Find the mass of one group first. For (b), find how many mangoes were added.
Worked answer
- (a) Think of the fruits in groups of 5: 3 mangoes and 2 lemons.
- Mass of one group = 3 × 300 + 2 × 100 = 1100 g.
- Total mass = 8.8 kg = 8800 g.
- Number of groups = 8800 ÷ 1100 = 8.
- Total number of fruits = 8 × 5 = 40.
- (b) Number of mangoes = 3 × 8 = 24.
- Increase in mangoes = 25% of 24 = 6 mangoes.
- Extra mass = 6 × 300 = 1800 g = 1.8 kg.
- Total mass in the end = 8.8 + 1.8 = 10.6 kg.
Answer: 10.6 kg
The mistake this question tests
Habit
Percentage of a new total
Many pupils take 25% of the whole 8.8 kg, but only the mangoes increased. Find the extra mangoes and their mass, then add it to 8.8 kg.
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