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

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To solve the algebraic question regarding university competition winnings, two equations are established: 3s + 2m = 6500 for the first week and 2s + 3m = 6000 for the second week, where s is the winnings of a scientist and m is the winnings of a mathematician. The solution involves using simultaneous equations to find the values of s and m. Participants express a desire for guidance rather than direct answers, seeking a clearer understanding of the solving process. The discussion emphasizes collaborative problem-solving in mathematics. Engaging with these equations will lead to determining the individual winnings for scientists and mathematicians.
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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 ?
 
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Jodygreen said:
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.
 
Prove It said:
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

- - - Updated - - -

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

*youre
 
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