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Fudgin [204]
3 years ago
13

Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'

s money was 4:1. Ali had $160 more than Bryan. How much was the sum of money.
Mathematics
1 answer:
monitta3 years ago
4 0

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) <em>Ali, Carrie and Bryan received a sum of money. </em>

a - Ali's money.

b - Bryan's money.

c - Carrie's money.

(ii) <em>Bryan's money was </em>\frac{3}{5}<em> of  Ali's money</em>.

b = \frac{3}{5}\cdot a (1)

(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.

\frac{a}{c} = 4 (2)

(iv) <em>Ali had $ 160 more than Bryan</em>.

a = b + 160 (3)

After some algebraic handling, we have the following system of linear equations:

3\cdot a - 5 \cdot b = 0 (1b)

a - 4\cdot c = 0 (2b)

a - b = 160 (3b)

The solution of the system is: a = 400, b = 240, c = 100

The sum of money is:

s = a + b + c

s = 740

The sum of money received by Ali, Carrie and Bryan is $ 740.

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Anuta_ua [19.1K]

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6 0
2 years ago
Read 2 more answers
43/645= I need the to show the work
Licemer1 [7]
I'm guessing you need 43/645 simplified:

First, we need to find the greatest common factor (GCF) of the numerator (43) and the denominator (645). To do so, we list all the factors of each number and find the common ones.

Factors of 43: 1, 43
Factors of 645: 1, 3, 5, 15, 43, 129, 215, 645

Out of the listed factors for each number, which numbers are common between the two? The common factors are 1 and 43. Since we are looking for the GREATEST common factor, which number out of 1 and 43 is the greatest? The GCF is 43.

Second, we can now divide the numerator (43) and the denominator (645) by the GCF we recently found which was 43. 

43 \div 43 = 1 \\ 645 \div 43 = 15

Third, our new simplified fraction is 1/15. We collected our new numerator and denominator.

Answer in fraction form: \fbox {1/15}
Answer in decimal form: \fbox {0.0667}
4 0
3 years ago
Whats going on in this attachment help thanks xD
rodikova [14]

Ratio remains same

\\ \rm\Rrightarrow \dfrac{4}{6x-3}=\dfrac{3}{2}

\\ \rm\Rrightarrow 8=3(6x-3)

\\ \rm\Rrightarrow 8=18x-9

\\ \rm\Rrightarrow 18x=17

\\ \rm\Rrightarrow x=17/18

7 0
2 years ago
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