Students of school prepared some articles on the occasion of Deepawali to help the poor
people. They made Diyas, Candles , Rangoli art designs, Flower decoration kits and
home made sweets, and distributed in a slum area. They collected total
money ₹ 1568 . They got 1 rupee coins , 2 rupee coins , 5 rupee coins and 10 rupee coins.
The number of 10 rupee coins are half of 1 rupee coins , 5 rupee coins are one third of 1
rupee coins and 2 rupee coins are one fourth of 1 rupee coins. Total number of coins are
400. Total amount of 2 rupee coins is invested on making diyas and amount of 10 rupee
coins invested on making sweets.
Answers
Step-by-step explanation:
Let the no. of one rupee coin = m
m/2 + m/3 + m/4 + m = 400
or, 6m + 4m + 3m + 12m = 12 × 400
or, 25m = 4800
or m = 192
Given:
Students of school prepared some articles on the occasion of Deepawali to help the poorpeople. They made Diyas, Candles , Rangoli art designs, Flower decoration kits andhome made sweets, and distributed in a slum area. They collected total money ₹ 1568 . They got 1 rupee coins , 2 rupee coins , 5 rupee coins and 10 rupee coins.The number of 10 rupee coins are half of 1 rupee coins , 5 rupee coins are one third of 1 rupee coins and 2 rupee coins are one fourth of 1 rupee coins. Total number of coins are 400. Total amount of 2 rupee coins is invested on making diyas and amount of 10 rupee coins invested on making sweets.
To Find:
The amount invested on making diyas and sweets.
Solution:
Let the number of 1 rupee coins = m
The above can be interpreted in the following way:
m/2 + m/3 + m/4 + m = 400
6m + 4m + 3m + 12m = 12 × 400
25m = 4800
m = 4800 / 25 = 192
So,
Number of 1 rupee coins = m = 192
Number of 2 rupee coins = m/4 = 192/4 = 48
Number of 5 rupee coins = m/3 = 192/3 = 64
Number of 10 rupee coins = m/2 = 192/2 = 96
Investment on making Diyas = 2 x 48 = 96 Rupees
Investment on making sweets = 10 x 96 = 960 Rupees
Hence, students invested 96 rupees on making diyas and 960 rupees
on making sweets.