there was 100 marbles in the bag .the red marbles were double the number of yellow marbles the white marbles were 2more in number than the red marbles. the blue marbles were 18 more than green marbles . the green marbles were 5more than yellow marbles and 7less than the white marbles. how may marbles of each colour were there?
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Total marble = 100.
Let the no of yellow marble be x.
So red marble =2x.
White marble= 2x+2.
Green marbles=x+5 or 2x+2-7= 2x-5
Blue marbles= x+5+18. Or 2x-5+18.
= x+23. Or 2x+13
Total marbles = 100.
x+2x+2x+2+x+5+x+23 =100.
7x+30=100.
7x=100+30.
7x=70.
x=70/7
=10.
So yellow marble=x = 10.
Red marble= 2x = 2×10=20.
White marble=2x+2. = 2×10+2= 22.
Green marble=x+5 = 10+5 = 15.
Or 2x-5= 2×10-5 = 15.
Blue marble= x+23 = 10+23=33.
Or 2x+13= 2×10+13=33.
Hope it helps.
Let the no of yellow marble be x.
So red marble =2x.
White marble= 2x+2.
Green marbles=x+5 or 2x+2-7= 2x-5
Blue marbles= x+5+18. Or 2x-5+18.
= x+23. Or 2x+13
Total marbles = 100.
x+2x+2x+2+x+5+x+23 =100.
7x+30=100.
7x=100+30.
7x=70.
x=70/7
=10.
So yellow marble=x = 10.
Red marble= 2x = 2×10=20.
White marble=2x+2. = 2×10+2= 22.
Green marble=x+5 = 10+5 = 15.
Or 2x-5= 2×10-5 = 15.
Blue marble= x+23 = 10+23=33.
Or 2x+13= 2×10+13=33.
Hope it helps.
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