SOLUTION: Hi Maths tutor, Can you please solve this question for me. Sam has twice as many bananas as Sandra. There are 3 dozen bananas altogether. How many does Sam have? Thanks, Ted

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Question 181319: Hi Maths tutor, Can you please solve this question for me.
Sam has twice as many bananas as Sandra. There are 3 dozen bananas altogether. How many does Sam have?
Thanks,
Teddy
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let a and b be the number of bananas sam and sandra have respectively
:
a=2b......eq 1
a+b=36....eq 2
:
take a's value from eq 1 and plug it into eq 2
:
2b+b=36
:
3b=36
:
highlight%28b=12%29number of bananas Sandra has
:
highlight%28a=2%2812%29=24%29number of bananas Sam has