Question

A businessman wants to donate a total of 300,000 pesos among the chosen charitable institutions in the ratio of 1: 3: 4. How much will each institution receive?

Answer 1

Step-by-step explanation:

As per the provided information in the given question, we have been given that a businessman wants to donate a total of 300,000 Pesos among the chosen charitable institutions in the ratio of 1:3:4. We've been asked to calculate the amount each institution will receive.

As the total amount has been shared among among the chosen charitable institutions in the ratio of 1:3:4, so let's assume that,

• Amount first institution will receive = x
• Amount second institution will receive = 3x
• Amount third institution will receive = 4x

Now, as the total amount is 300,000 Pesos, henceforth we can say that the sum of all the amount received by all these three institutions will yield 300,000 Pesos. Formulating an equation,

$\implies \rm { x + 3x + 4x = 300000 } \\ \\ \implies \rm { 8x = 300000 } \\ \\ \implies \rm { x =\cancel{\dfrac{300000 }{8}}} \\ \\ \implies \underline{\rm { x = 37,500 \; Pesos }}$

Now,

• Amount first institution will receive = x → 37500 Pesos

• Amount second institution will receive = 3x → 3(37500) Pesos → 112500 Pesos

• Amount third institution will receive = 4x → 4(37500) Pesos → 150000 Pesos

$\rule{200}2$

Answer 2

Total no. of pesos = 300,000
Total no. of ratio = 8

Institution no. 1 = 300,000/8*1 = 37,500
Institution no. 2= 300,000/8*3= 1,12,500
Institution no. 3= 300,000/8*4= 1,50,000

Total = 37,500+1,12,500+1,50,000= 300,000