**Problem**

The ratio of the mass
of an apple to the mass of two cherries is
9 : 1. The mass of the apple
is 150 g. What is the number of cherries that can be
found in
y kg? |

**Solution**

**Remarks**

To obtain the answer, we made a
simplifying assumption that all the apples and cherries are identical in mass. The answer is an

*algebraic expression*and it can be obtained by*following the same procedure*one would solve the problem if it were in concrete numbers. Learning algebra is like learning a new but more powerful language. It takes some time getting used to. Since we do not know the value of*y*, we leave the answer in terms of*y*. But if we knew the value of*y*, we would know that the answer is 120 times that. For example, with 3 kg, we get (about) 360 cherries.
H02. Use a diagram / model

H05. Work backwards

H08. Make suppositions

H10. Simplify the problem

H11. Solve part of the problem

**Suitable Levels**

*****Primary 6 Mathematics (challenge)

*****Lower Secondary Mathematics (Secondary 1)

*****GCE ‘O’ Level “Elementary” Mathematics (revision)

* other syllabuses that involve ratios and
algebra

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