Q 36 In a certain month, the total income of Andrew, Bruce and Chioe is $50,000. In that month, Andrew spends 70% of his incaneuse spends 79% of income and Chloe spends 80% of her income. The ratio of the amounts spent by Andrew, Bruce and Chloe an that month:90:64 Find the f
Andrew in the month.
Ops: A. $10,000
B$24,000
C. $16,000
D.$18,000
Answers
Answer:
ops: A. $10,000
Step-by-step explanation:
A+B+C= 50,000
35:90:64 - spent ratio
70% of A= 35k ----------------100% of A=50k
75% of B= 90k ----------------100% of B=120k
80% of C=64k -----------------100% of C=80k
A+B+C= 50,000
50k+120k+80k=50,000
k=200
So, Andrew has 50k = 50*200 = $10,000
Given :
In a certain month, the total income of Andrew, Bruce and Chloe is $50,000. In that month, Andrew spends 70% of his income , Bruce spends 75% of income and Chloe spends 80% of her income. The ratio of the amounts spent by Andrew, Bruce and Chloe in that month: 35 : 90: 64
To Find : Andrew Income
Solution:
Income of Andrew = 100A
Income of Bruce = 100B
Income of Chloe = 100C
Andrew spend = 70A
Bruce spends = 75B
Chloe spends = 80C
70A : 75B : 80C = 35 : 90: 64
=> 70A/35 = 75B/90 = 80C/64 = N
=> A = N/2 , B = 6N/5 , C = 4N/5
=> 100A = 50N , 100B = 120N , 100C = 80N
100A + 100B + 100C = $50,000
=> 50N + 120N + 80N = $50,000
=> 250N = $50,000
=> N = 200
Income of Andrew = 100A = 50N = 50 x 200 = 10000 $
Income of Bruce = 100B = 120N = 120 x 200 = 24000 $
Income of Chloe = 100C = 80N = 80 x 200 = 16000 $
Andrew Income = 10000 $
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