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?
Accepted Solution
A:
Answer:3rd option: [tex]g=\frac{7}{4}b[/tex]Step-by-step 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 4:7i.e.[tex]Blue:Green=4:7\\\\ b:g=4:7[/tex]Converting the ratios to fractions, we get:[tex]\frac{b}{g}=\frac{4}{7}[/tex]Cross multiplying, we get:[tex]7b=4g[/tex]Dividing both sides by 4, we get:[tex]\frac{7}{4}b=g\\\\ or\\\\ g=\frac{7}{4}b[/tex]Hence, the 3rd option correctly related the number of green beads to the number of blue beads.