If you add eight point one-third to 24% of the number y, you get a number that is 45%

If you add eight point one-third to 24% of the number y, you get a number that is 45% of twenty-five point seven eighteenths. Find y.

By condition, the number “y” is given.

Let’s make an equation considering that the sum of 24% (0.24) of the number “y” and 8 1/3 is equal to the number, which is 45% (0.45) of 25 7/18.

0.24y + 8 1/3 = 0.45 * 25 7/18;

0.24y + 8 1/3 = 45/100 * 25 7/18;

0.24y + 8 1/3 = 45/100 * 457/18;

0.24y + 8 1/3 = 20565/1800;

0.24y + 8 1/3 = 11 765/1800;

0.24y + 8 1/3 = 11 17/40;

0.24y = 11 17/40 – 8 1/3;

0.24y = 11 51/120 – 8 40/120;

0.24y = 3 11/120;

y = 3 11/120 / 24/100;

y = 371/120 * 100/24;

y = 37100/2880;

y = 12 2540/2880 = 12 127/144.