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:
$2
Step-by-step explanation:
Ursula bought 6 bananas and 9 grapefruits at the local supermarket for a total of $34.50.
[tex]\implies 6b+9g=34.5....(1)[/tex]
Bernat bought bought 10 bananas and 5 grapefruits at the same store for a total of $32.50
[tex]\implies 10b+5g=32.50.....(2)[/tex]
Multiply equation (1) by 5 and equation (2) by 9 to get:
[tex]30b+45g=172.5...(3)[/tex]
[tex]90b+45g=292.5...(4)[/tex]
Subtract equation (1) from (2) to get:
[tex]60b=120[/tex]
[tex]b=2[/tex]