# Exam-Style Question on Algebra

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 719. This question is similar to one that appeared on a GCSE Higher paper in 2022. The use of a calculator is allowed.

Julie is on holiday and buys $$x$$ mangos, $$(x+4)$$ guavas and $$(3x-5)$$ bananas.

The total number of pieces of fruit Julie buys is 29.

(a) Find the number of mangos Julie buys.

(b) The cost of one mango is 35 baht.

The cost of one guava is 18 baht.

If the total cost of all the fruit is 455 baht, find the cost, in baht, of one banana.

(c) What is the equivalent cost of the fruit Julie has bought in British pounds if the exchange rate with Thai baht is currently:

£1 = 46 baht.

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