The first and second bowls contain 56 marbles together . The second and 3d bowls contain 70 marbles together. How many marbles does the 3d bowl contain?
24, 30,36,44, or not enough info
Please help me! I am studying for a local math contest , I can't get my head around this type of question.
24, 30,36,44, or not enough info
Please help me! I am studying for a local math contest , I can't get my head around this type of question.
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Begin by naming the marbles in the bowls with variables.
marbles in 1st bowl= a
marbles in 2nd bowl= b
marbles in 3rd bowl= c
so, there are 100 marbles, which means a+b+c=100
a+b=56 therefore a=56-b
b+c=70 therefore c=70-b
Now let's replace a and c with their expressions
56-b+b+70-b=100
126-b=100
b=126-100
b=26
replace b with 26 in b+c=70
26+c=70
c=70-26
c=44
marbles in 1st bowl= a
marbles in 2nd bowl= b
marbles in 3rd bowl= c
so, there are 100 marbles, which means a+b+c=100
a+b=56 therefore a=56-b
b+c=70 therefore c=70-b
Now let's replace a and c with their expressions
56-b+b+70-b=100
126-b=100
b=126-100
b=26
replace b with 26 in b+c=70
26+c=70
c=70-26
c=44
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There are 100 marbles and 3 bowls.
If there are 56 marbles in the first two bowls, then there are 100 - 56 = 44 marbles left over. Since there are only 3 bowls, and all the marbles are in a bowl, that means all 44 of the remaining marbles must be in that third one.
Done!
If there are 56 marbles in the first two bowls, then there are 100 - 56 = 44 marbles left over. Since there are only 3 bowls, and all the marbles are in a bowl, that means all 44 of the remaining marbles must be in that third one.
Done!
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44
First bowl: 26 marbles
Second Bowl: 30 marbles
Third bowl: 44 marbles
First bowl: 26 marbles
Second Bowl: 30 marbles
Third bowl: 44 marbles