Question P6 Number × value
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A stationery shop sells pencils and erasers in the ratio of 5 pencils to 3 erasers. Each pencil costs $0.50, and each eraser costs $1. If the total value of all the pencils and erasers is $27.50, how many pencils and erasers are there altogether?
Answer
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One batch repeats. Work out one batch, then multiply.
In this one. Fix one repeating batch from the ratio, find the value of that batch, then use the total value to find the number of batches.
Items are described as a fixed group or ratio that repeats, such as tiles following a pattern, snacks sold in a fixed mix, or a rate given per hour or per item.
Children start from the grand total instead of first working out what one batch is worth. In rate questions they also confuse a duration with a clock time.
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