MHB How to Solve This Algebraic Question About University Competition Winnings?

[Jodygreen]

Hi there ! I am struggling with this question. I don't except anyone to answer it for me but if you could at least show me the process to get to a final result ! Thankyou

Each week at university a two week competition is held and winners are given cash prizes. In the first week 3 scientists and 2 mathematicians won prizes totalling in 6500 dollars. In the second week 2 scientists and 3 mathematicians won prizes totalling 6000 dollars. How much does each scientist and mathematicians win ?

 

[Prove It]

Hi there ! I am struggling with this question. I don't except anyone to answer it for me but if you could at least show me the process to get to a final result ! Thankyou

Each week at university a two week competition is held and winners are given cash prizes. In the first week 3 scientists and 2 mathematicians won prizes totalling in 6500 dollars. In the second week 2 scientists and 3 mathematicians won prizes totalling 6000 dollars. How much does each scientist and mathematicians win ?

If s represents the winnings of a scientist and m represents the winnings of a mathematician, then you have

3s + 2m = 6500
2s + 3m = 6000

as your two equations. Solve them simultaneously.

 

[Jodygreen]

If s represents the winnings of a scientist and m represents the winnings of a mathematician, then you have

3s + 2m = 6500
2s + 3m = 6000

as your two equations. Solve them simultaneously.

Thankyou so much ! I just need a push in the right direction ! Your the best

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Thankyou so much ! I just need a push in the right direction ! Your the best

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