Question

A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A tree takes 15 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 96 hours for preparation time, 73 hours for painting, and 117 hours for firing, how many of each can be made?
Answer

4 wreaths, 3 trees, 8 sleighs

3 wreaths, 8 trees, 4 sleighs

8 wreaths, 4 trees, 3 sleighs

9 wreaths, 5 trees, 4 sleighs

Answer 1

let the variables x,y,z stand for the number of wreaths, trees, and sleighs built, respectively

total of 96 hours to prepare
wreath takes 2 hours to prepare, a tree takes 15 hours to prepare, and a sleigh takes 4 hours to prepare
so 2x +15y+4z would equal the total amount of time taken to prepare
since you only have 96 hours to prepare,
2x+15y+4z = 96

do this for painting and firing, and you will have 3 equations with 3 unknowns

Answer 2

never mind i go the answer thnx anyway :)