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lutik1710 [3]
3 years ago
10

The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.

Mathematics
1 answer:
EastWind [94]3 years ago
6 0
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53   (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a -  3b = 26
------------------- - (substract)
       5b = 80
         b = 80/5
         b = 16

Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37

The numbers are 16 and 37</span>
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18 is 45% of 40


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What type of number is
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Answer:

A) rational number

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An online furniture store sells chairs for $150 each and tables for $400 each. Every day, the store can ship no more than 30 pie
ivolga24 [154]

Answer:

minimum of 13 chairs must be sold to reach a target of $6500

and a max of 20 chairs can be solved.

Step-by-step explanation:

Given that:

Price of chair = $150

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Let the number of chairs be denoted by c and tables by t,

According to given condition:

t + c = 30 ----------- eq1

t(150) + c(400) = 6500 ------ eq2

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t = 10

Putting in eq1

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As the minimum target is $6500 so from eq2

10(150) + 400c = 6500

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by rounding off

c = 13

So a minimum of 13 chairs must be sold to reach a target of $6500

i hope it will help you!

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3 years ago
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Answer:

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