Final answer:
To make the ratio 7:X equivalent to 1:5, a proportion is set up and after cross-multiplication, it is found that X equals 35.
Step-by-step explanation:
To find the number that makes the ratio 7:X equivalent to 1:5, we set up a proportion by equating the two ratios. A proportion is an equation that states that two ratios are equivalent. In this case, the proportion can be written as 7/X = 1/5. To solve for X, we cross-multiply: 7 × 5 = X × 1.
This simplifies to 35 = X. Therefore, X = 35.