A carpenter has to make 20 items of furniture , some of them are stool with three legs and the remaining are chairs with four legs. If he has 72pieces of wood which can be used as legs. He would like to use all of them. How many stools and how many chairs can he make?
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Let the no. of stools be 'x' and the no. of chairs be 'y'
x + y = 20 ................ (i) No. of items
3x + 4 y = 72 ............ (ii) No. of legs
Solving (i) and (ii) simultaneously .>Multiply (i) by 3
3x + 3y = 60
- 3x + 4y = 72 ............ (i)
----------------
- y = -12
y = 12
x = 20 - 12 = 8
∴ Stools are 8 while chairs are 12.
x + y = 20 ................ (i) No. of items
3x + 4 y = 72 ............ (ii) No. of legs
Solving (i) and (ii) simultaneously .>Multiply (i) by 3
3x + 3y = 60
- 3x + 4y = 72 ............ (i)
----------------
- y = -12
y = 12
x = 20 - 12 = 8
∴ Stools are 8 while chairs are 12.
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