Question

Ursula bought 6 bananas and 9 grapefruits at the local supermarket for a total of $34.50. Bernat bought bought 10 bananas and 5 grapefruits at the same store for a total of $32.50. How much does one Bannana cost ?

Answer 1

$2

Explanation:

Ursula bought 6 bananas and 9 grapefruits at the local supermarket for a total of $34.50.

`\implies 6b+9g=34.5....(1)`

Bernat bought bought 10 bananas and 5 grapefruits at the same store for a total of $32.50

`\implies 10b+5g=32.50.....(2)`

Multiply equation (1) by 5 and equation (2) by 9 to get:

`30b+45g=172.5...(3)`

`90b+45g=292.5...(4)`

Subtract equation (1) from (2) to get:

`60b=120`

`b=2`