Question

The ratio of drops of red food coloring to drops of yellow food coloring used to create orange frosting was 3:4. If 18 drops of red coloring were used, how many drops of yellow coloring were used?

a) 16
b) 24
c) 32
d) 36

Answer 1

Given the ratio of red to yellow food coloring as 3:4 and the use of 18 drops of red, we cross-multiply and solve the proportion to find that 24 drops of yellow food coloring are needed. The correct answer is (b) 24.

Step-by-step explanation:

The question involves solving a ratio problem to determine the number of drops of yellow food coloring used when making orange frosting. Given a ratio of red to yellow food coloring as 3:4 and knowing that 18 drops of red coloring were used, we can set up a proportion to find the number of drops of yellow coloring:

3:4 = 18:x
X in this case represents the unknown quantity of yellow food coloring. To solve for x, we cross-multiply and find that 3*x = 4*18 which leads to 3*x = 72. Dividing both sides by 3 gives us x = 24.

Therefore, 24 drops of yellow food coloring were used. The correct answer is (b) 24.

Answer 2

(b) 24

Step-by-step explanation:

the 3 part of the ratio refers to 18 drops of red colouring

divide 18 by 3 to find the value of one part of the ratio

18 ÷ 3 = 6 drops , then

4 parts = 4 × 6 = 24

That is 24 drops of yellow colouring were used