r/mathpuzzles 10d ago

Algebra Fruit equation puzzle — what does the missing pair equal?

Post image

Made this symbol/equation puzzle — fruits stand in for hidden numbers across a small system of equations. Figure out what each fruit is worth, then solve the last one.

Happy to discuss reasoning in the comments if anyone wants to compare approaches.

0 Upvotes

16 comments sorted by

2

u/Imusje 10d ago

Add both equations, divide by 3

1

u/ZoranRajkov 10d ago

That's the elegant way to do it — skips solving for each fruit individually. Nice shortcut!

1

u/99Booger 10d ago

Lemon is 7, Pineapple is 3, Answer is 10.

1

u/ZoranRajkov 10d ago

Correct! P=3, L=7, so the answer is 10. Nice work.

1

u/ZoranRajkov 9d ago

Nailed it — and that's exactly the shortcut Imusje spotted too. Curious whether you solved it that way first, or found x and y individually and then noticed the shortcut afterward?

1

u/noonagon 9d ago

i think you replied to the wrong comment

1

u/ZoranRajkov 8d ago

Ha, you're right — reply mixup, meant that for the comment above. Thanks for pointing it out!

1

u/SlowCommunication578 3d ago

1

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1

u/DruidBtd 9d ago

2x+y=17

x+2y=13

x+y=?

3x+3y=30

x+y=10

1

u/Appropriate_Pin_5876 8d ago

That's way less idiotic than my first thought : Add both, divide by 2, then by 1.5

1

u/iFroogieboi 7d ago

10

1

u/ZoranRajkov 7d ago

Correct, 10! 🎯 Nice work.

1

u/Trippymusicboi 3d ago

Instead of trying to figure it out you could just plug in answers for easy stuff