Question

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 his income and Chloe spends 80% of her income. The ratio of the amounts spent by Andrew, Bruce and Chloe in that month is 35:90: 64. Find the income of Andrew in the month.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Required income of Andrew is $11574.1

Step-by-step explanation:

Given, total income of Andrew, Bruce and Chloe is $50,000.

It is also given that the ratio of the amounts spent by Andrew, Bruce and Chloe in that month is 35:90: 64.

Let, amount spent by Andrew be $35x

and amount spent by Bruce be $90x

and amount spent by Chloe be $64x.

According to question,

$35x + 90x + 64x = 50000 \\ 189x = 50000 \\ x = \frac{50000}{189}$

So, amount spent by Andrew

$= 35 \times \frac{50000}{189} \\ = \frac{5 \times 50000}{27} \\ = \frac{250000}{27}$

and amount spent by Bruce

$= 90 \times \frac{50000}{189} \\ = \frac{10 \times 50000}{21} \\ = \frac{500000}{21}$

and amount spent by Chloe

$= 64 \times \frac{50000}{189} \\ = \frac{3200000}{189}$

Now according to question,

Andrew spend 80% of his income.

So, 80% means $\frac{250000}{27}$

1% means $\frac{250000}{27 \times 80}$

and 100 % means

$\frac{250000 \times 100}{27 \times80 } \\ = 11574.1$

So, income of Andrew is $11574.1

This is a problem of ratio.

Know more about ratio,

https://brainly.in/question/7996583

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