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2 years ago

Divide 45 in the ratio 7:8

Mathematics

2 answers:

rjkz [21]2 years ago

6 0

Answer:

21 : 24

Step-by-step explanation:

Sum the parts of the ratio, 7 + 8 = 15 parts

divide 45 by 15 to find one part of the ratio

45 ÷ 15 = 3 ← value of 1 part of ratio, thus

7 parts = 7 × 3 = 21

8 parts = 8 × 3 = 24

45 divided in the ratio 7 : 8 is 21 : 24

Naddik [55]2 years ago

5 0

Answer:

0.0195?

Step-by-step explanation:

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<h2>Translating Word Equations into Numerical Equations</h2>

To change words into equations, we can recognize keywords that translate into operations and/or numbers:

<em>quotient</em> = divide
<em>a number/the number/two numbers</em> = variables
<em>sum</em> = add

<h2>Solving the Question</h2>

Let the two numbers be <em>a</em> and <em>b</em>.

We're given:

quotient of <em>a</em> and <em>b</em> is 3
⇒ $\dfrac{a}{b}=3$
sum of <em>a</em> and <em>b</em> is 8
⇒ $a+b=8$

First, isolate <em>a</em> in the first equation and substitute it in the second equation to solve for <em>b</em>:

$\dfrac{a}{b}=3\\\\a=3b$

$a+b=8\\3b+b=8\\4b=8\\b=2$

Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for <em>a</em>:

$a+b=8\\a+2=8\\a=6$

Therefore, the other number is 6.

<h2>Answer</h2>

The two numbers are 2 and 6.

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