Question

Jessie and Thulani each has a sum of money. Jessie's amount is 2/5 that of Thulani. If Thulani were to give Jessie $198, then his remaining amount will be 6/8 that of Jessie. How much does jessie have originally?

Answer 1

Jessie originally had $990.

Step-by-step explanation:

Given: Jessie and Thulani each has a sum of money. Jessie's amount is 2/5 that of Thulani. If Thulani were to give Jessie $198, then his remaining amount will be 6/8 that of Jessie.

Find: How much does jessie have originally?

Solution: Let Jessie have X amount of money and Thulani have Y.

2/5 * x = y

2x = 5y

2x - 5y = 0 -----------------(1)

If Thulani were to give Jessie $198, then his remaining amount will be 6/8 that of Jessie.

(y - 198) = 6/8(x + 198)

 8(y-198) = 6(x +198)

 8y - 1584 = 6x + 1188

  -6x + 8y = 2772 --------------(2)

   -15y + 8y = 2772

    y = 2772/7 = 396

Substituting, we get 2x = 5(396)

x = 990

Jessie originally had $990.