Question

Solve each proportion:
a) 5/12 = 35/n
b) n/4 = 2416
c) 10/16 = n/56

Answer 1

To solve the given proportions, use cross-multiplication. For the first proportion, n equals 84; in the second proportion, n equals 6; and in the third proportion, n equals 35.

Step-by-step explanation:

To solve each proportion, we'll use cross-multiplication.

1. For the proportion 5/12 = 35/n, we cross-multiply to get 5n = 12 × 35. Simplifying this gives us n = (12 × 35) / 5. Calculating the right side, we find n = 84.
2. For the proportion n/4 = 24/16, we simplify the right side to get n/4 = 3/2. Cross-multiplying, we get 2n = 4 × 3. Simplifying this, we find n = 6.
3. For the proportion 10/16 = n/56, cross-multiply to get 10 × 56 = 16n. Solving for n gives us n = (10 × 56) / 16, which simplifies to n = 35.