Question

the numbers of blue and green beads Emily uses to make five different pieces of jewelry are recorded below which of the following equation relates the number of green beads,g, to the number to blue beads,b?​

Answer 1

Emma uses blue and green beads to make 5 different pieces of jewelry. The numbers of blue and green beads she uses are recorded as follows: Blue: 4, 8, 12, 16, 20; Green: 7, 14, 21, 28, 35. The equation that relates the number of green beads (g) to the number of blue beads (b) is g = 7/4 * b. This can be determined by observing that for each value of blue beads, the corresponding value of green beads is 7/4 times greater.

Answer 2

3rd option:
`g=(7)/(4)b`

Explanation:

According to the given table for every 4 blue beads there are 7 green beads. So the ratio between the blue beads and green beads is 4:7

i.e.

`Blue:Green=4:7\\\\ b:g=4:7`

Converting the ratios to fractions, we get:

`(b)/(g)=(4)/(7)`

Cross multiplying, we get:

`7b=4g`

Dividing both sides by 4, we get:

`(7)/(4)b=g\\\\  or\\\\ g=(7)/(4)b`

Hence, the 3rd option correctly related the number of green beads to the number of blue beads.