A shop sells towels in boxes of three, four or five. There are 224 boxes of towels for sale. The total number of towels for all these boxes is 850. The total number of boxes with three and four towels is 3 times the total number of boxes with five towels. What is the difference in the number of the boxes with three towels and the number of boxes with four towels?

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RongEr: A shop sells towels in boxes of three, four or five. There are 224 boxes of towels for sale. The total number of towels for all these boxes is 850. The total number of boxes with three and four towels is 3 times the total number of boxes with five towels. What is the difference in the number of the boxes with three towels and the number of boxes with four towels?

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April 24, 2016 at 9:34am

Shu Yun:Let number of boxes with three, four, five towels be x, y, z respectively. x + y + z = 224 ---(1) 3x + 4y + 5z = 850 ---(2) x + y = 3z ---(3) Solving (1)&(3), 3z + z =224 z = 56 Hence x+y+56=224---(4)---x+y=168 3x+4y+5(56)=850---(5)---3x+4y=570 Solving (4)&(5), y= 66, x= 102 Difference between number of boxes with three n four towels: 102-66=36
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- April 28, 2016 at 9:26am

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