Boxes of mixed fruit are on sale at a local supermarket.

Box A contains 2 bananas, 3 kiwifruit and 4 melons, and costs $6.58.

Box B contains 5 bananas, 2 kiwifruit and 8 melons and costs $12.32.

Box C contains 5 bananas and 4 kiwifruit and costs $3.00.

Find the cost of each type of fruit.

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

let $b$ be the cost of one banana, $k$ the cost of one kiwifruit, and $m$ the cost of one melon

attempt to set up three linear equations     (M1)

$2b+3k+4m=658$

$5b+2k+8m=1232$

$5b+4k=300$     (A1)

attempt to solve three simultaneous equations     (M1)

$b=36,k=30,m=124$

banana costs ($)0.36, kiwifruit costs ($)0.30, melon costs ($)1.24     A1

[4 marks]