**At first, 25% of Kumar's money was the same as 33 and 1/3 % of Lily's money. Lily's father gave her $80 later, while Kumar spent $325. In the end, Lily had 2 and 1/2 times as much money as Kumar.**

**a) How much money did Kumar have at first?**

**b) How much money did Lily have in the end?**

Solution

Solution

(Kumar) 4 units --> 2 parts + 325 (x5)**

(Lily) 3 units + 80 --> 5 parts (x2)**

**Kumar (x5) and Lily (x2) to make both of them 10 equal parts each.

(K) 20 units --> 10 parts + 1625

(L) 6 units + 160 --> 10 parts

(K) 20 units --> 10 parts + 1625

(L) 6 units --> 10 parts - 160

(K) - (L)

20 units - 6 units --> 10 parts - 10 parts + 1625 - (-160)

14 units --> 1625 + 160

14 units --> 1785

1 unit --> 1785 divided by 14 = 127.5

1 unit --> 1785 divided by 14 = 127.5

**(a)**Kumar at first

4 units --> 4 x 127.5 = 510

**Answer: $510**

**(b)**

Lily in the end

--> 3 units + 80

(3 x 127.5) + 80

= 382.5 + 80

= 462.5

**Answer: $462.50**

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