Question

If the ratio is 11:12 and 11 is multiplied by 17, what number will be multiplied with 12 to keep the same ratio?

a) 14
b) 16
c) 17
d) 18

Answer 1

To maintain the ratio 11:12, if 11 is multiplied by 17, then 12 must be multiplied by 17 as well to keep the same ratio.

Step-by-step explanation:

The question asks us to maintain the same ratio of 11:12 when the number 11 is multiplied by 17. To find the number that 12 must be multiplied by to keep the ratio the same, we set up a proportion where 11 multiplied by 17 is to 11 as x (the unknown number) is to 12.

We start with the original ratio 11:12, which can also be written as ​​11/12. When we multiply 11 by 17, we get 187. To find the number to multiply by 12, we set up the equation (11 × 17)/11 = x/12, which simplifies to 187/11 = x/12.

Algebraic rearrangement is used to solve for x. By cross-multiplying, we get 12 × 187 = 11x, which simplifies to x = (12 × 187) / 11. Calculating this, we find x = 204, which means if 11 is multiplied by 17, then 12 must be multiplied by 17 to keep the same ratio, which corresponds to option c.