Question

Rash's mother bought an equal number of ladoos and pedas. She put 1/3 of the ladoos and 1/5 of the pedas into a packet and gave it to Rash to distribute at school. If there were a total of 80 sweets in the packet, how many ladoos did Rash's mother buy?

a) 30
b) 40
c) 45

Answer 1

Rash's mother bought 150 ladoos. This was determined by solving the equation 1/3L + 1/5L = 80, where L represents the total number of ladoos and pedas, and finding that the common denominator led to L = 150.

Step-by-step explanation:

Let's start by denoting the total number of ladoos and pedas Rash's mother bought as L. Since she gave away 1/3 of the ladoos and 1/5 of the pedas, and since the number of ladoos and pedas are equal, we can represent the sweets given to Rash by adding 1/3L and 1/5L together. This sum is equal to the total amount of sweets in the packet, which is 80.

We can create an equation as follows:
1/3L + 1/5L = 80.
To solve for L, we find a common denominator, which is 15, and rewrite the equation as:
5/15L + 3/15L = 80
8/15L = 80.
Multiplying both sides of the equation by 15/8 gives us:
L = (80 * 15)/8
L = (10 * 15)
L = 150.
Therefore, Rash's mother bought 150 ladoos, which is the total amount of ladoos since the number of ladoos and pedas was the same.