Question

An artist follows this formula for making a special tricolored bracelet: 8 orange beads + 3 red beads + 4 green beads + 1 string → 1 bracelet how many special tricolored bracelets could be formed from 15 orange beads, 86 red beads, 92 green beads, and 17 pieces of string?

Answer 1

Let x be the number of bracelets that the artiste can make.
We know the following constraint :

`8x\leq15,3x\leq86,4x\leq92,x\leq17`
We solve like this:

`x\leq(15)/(8),x\leq(86)/(3),x\leq(92)/(4),x\leq17 \\x\leq1.8,x\leq12,x\leq23.5,x\leq17`

Since the lowest value is 1.5, so the artiste can make up to one bracelet.

Answer 2

Due that the artist needs 8 orange beads per each bracelet and he only have 15 beads of this color, he only could form 1 bracelet.
After finish the first bracelet, only left 7 orange beads (15 - 8), which are not enough for form another one.