Arron, Bob and Brat decide to open a Candy shop. Arron contributes 7
of the total
capital, Bob 3 and Brat the remaining $2814. 10
i) What fraction of the total capital does Brat provide?
ii) How much is the capital?
iii) How much do Arron and Bob each contribute?
Answers
Answer:
i) Brat's fraction = 11/21
ii) The total capital = 5372.37 $
iii) Arron's contribution = 767.48 $
Bob's contribution = 1790.79 $
Step-by-step explanation:
Given : Arron contributes 7 of the total capital
Bob contribute 3 of the total
Brat contributes remaining = $ 2814.10
Solution : Let X be the total capital
Then,
i) The fraction of total Brat provides = Total investment - Arrons - Bob's
= X - X/7-X/3
LCM of 1.3 & 7 is 21
= (21X-3X-7X)/21
= 11X/21
The fraction provided by Brat = 11X/21 ÷ X = 11/21
ii) Brat's contribution = 2814.10 $
11X/21 = 2814.10
11X = 2814.10 x 21
X = 2814.10 x 21/11
= 5372.37 $
The capital is 5372.37 $
iii) Arron's contribution = X/7 = 5372.37/7
= 767.48 $
Bob's contribution = X/3 = 5372.37/3
= 1790.79 $