SOLUTION: Use colored pencils to create a bird's eye view drawing that shows the LEAST number of fruits that can be in the bowl. 1/3 of the fruits are pears There are half as many apples

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Question 1207039: Use colored pencils to create a bird's eye view drawing that shows the LEAST number of fruits that can be in the bowl.
1/3 of the fruits are pears
There are half as many apples as pears
1/6 of the fruits are bananas
There are half as many kiwis as bananas
There are 3 times as many oranges as kiwis.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let the number of all fruits be x
we have:
pears+%2B+apples%2B+bananas%2B+kiwis%2B+oranges=x
given that:
1%2F3 of the fruits are pears=>%281%2F3%29x=pears
There are half as many apples as pears=>%28%281%2F3%29%2F2%29x=%281%2F6%29x=apples
1%2F6 of the fruits are bananas=>%281%2F6%29x=bananas
There are half as many kiwis as bananas=> %28%281%2F6%29%2F2%29x=%281%2F12%29x=kiwis
There are 3 times as many oranges as kiwis.=>3%281%2F12%29x=%281%2F4%29x=oranges

now we have:
x%2F3%2Bx%2F6%2Bx%2F6%2Bx%2F12%2Bx%2F4=x

%284x%2B2x%2B2x%2Bx%2B3x%29%2F12=x
12x%2F12=x
x=x=> true

so, since common denominator is 12, the LEAST number of fruits that can be in the bowl is 12

%281%2F3%2912=4 pears
%281%2F6%2912=2 apples
%281%2F6%2912=2 bananas
%281%2F12%2912=1 kiwi
%281%2F4%2912=3 oranges

now create a bird's eye view drawing