Question

In a kitchen, the ratio of forks to knives is 5 : 2 and the ratio of knives to
spoons is 4 : 1.

Answer 1

Answer:

20 knives

Step-by-step explanation:

Set up the problem as a ratio of forks to knives.

$\frac{forks}{knives} = \frac{4}{5} = \frac{16}{x} \\ \\ \frac{4}{5} = \frac{16}{x} \\ \\ cross \: multiply \: \\ 4 \times x = 5 \times 16 \\ 4x = 80 \\ divide \: both \: sides \: by \: 4 \\ \\ \frac{4x}{4} = \frac{80}{4} \\ \\ x = \frac{4 \times 80}{4 \times 4} \\ \\ x = 20 \\ \\ therefore \: te \: answer \: is \: 20 \: knives.$