Question

the tree is decorated with green ornaments and red ornaments. there are 8 green ornaments on the tree. the ratio of green ornaments to red ornaments is 4 for every 1. find the number of red ornaments on the tree
answer and explain

Explanation:

Step1: Define the ratio relationship

Let the number of red ornaments be \( r \). The ratio of green to red ornaments is \( 4:1 \), and the number of green ornaments is 8. So we can set up the proportion \( \frac{\text{Green}}{\text{Red}}=\frac{4}{1} \), which means \( \frac{8}{r}=\frac{4}{1} \).

Step2: Solve for \( r \)

Cross - multiply the proportion: \( 4r = 8\times1 \). Then, divide both sides by 4: \( r=\frac{8\times1}{4} \). Calculating the right - hand side, \( \frac{8}{4}=2 \).

Answer:

The number of red ornaments on the tree is 2.