Answer:
Step-by-step explanation:
You don't really need to use ratios for this question. You need to understand that for each necklace he uses 2 red and 6 whites.
Let the number of necklaces he can make = x
The total number of beads = 56
2x + 6x = 56
8x = 56 Divide by 8
8x/8 = 56/8
x = 7
So the number of necklaces possible is 7.
If you insist on doing this with ratios then you could do it as
2/8 = x/56 What this means is that 2 reds to the total = x / 56. The 56 is the total number of beads used. The x represents the number of reds.
2/8 = x/56 Cross multiply
2 * 56 = 8x Divide both sides by 8
2 * 56/8 = x
x = 14.
That means of the 56 beads used, 14 of them are red.
6/8 = y / 56 Cross multiply
6*56 = 8y
336 = 8y Divide by 8
336/8 = 8y/8
y = 42
This means that 42 beads were white
The total is 56. But here's the catch. The highest prime common to both is 7 and that's how many necklaces can be made.
