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stepladder [879]
3 years ago
15

A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 6 large boxes and 5 small boxes has a t

otal weight of 127 kilograms. a delivery of 2 large boxes and 3 small boxes has a total weight of 51 kilograms. how much does each type of box weigh?
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0
6 large + 5 small = 127 kg ------------ (1)
2 large + 3 small = 51kg    ------------ (2)

<u>(2) x 3 :</u>
6 large + 9 small = 153 ---------------- (2a)

<u>(2a) - (1) :</u>
4 small = 26
1 small = 6.5kg   ------------ (sub into equation 1)

6 large + 5 small = 127 kg
6 large + 5(6.5) = 127
6 large + 32.5 = 127
6 large = 127 - 32.5
6 large = 94.5
1 large = 15.75 kg

Answer: The small box weighs 6.5kg and the big box weighs 15.75 kg


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3 years ago
Drex's and Max's ages add up to 29.Seven years ago Drex was twice as old as Max. Find their present ages​
nexus9112 [7]

Answer:

There present ages are

Drex age = 17 years

Max age  =  12 years

Step-by-step explanation:

Given as ,

The sum of age of Drex and Max = 29 years

And seven years ago Drex was twice as old as max

So , Let the Age of Drex = D   and Max age = M

I.e (D - 7 ) = 2 (M - 7)

Or, D - 7 = 2M - 14

Or, 2M - D = 7

And Also D + M = 29  

So , from both equations

(2M - D ) + (D + M) = 29 +7

Or,  3M = 36

I.e M = \frac{36}{3} = 12 years

∴ The Age of Drex = 29 - M

  The Age of Drex = 29 - 12 = 17 years

Hence there present ages are

The Age of Drex = 17 years

The Age of Max = 12 years     Answer

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3 years ago
What is u = kx + ух, for x
Ivahew [28]

Answer:

<h2>x=  \frac{u}{k + y}</h2>

Step-by-step explanation:

u = kx + ух

First of all factorize x out at the right side of the equation

That's

u = x(k + y)

Divide both sides by ( k + y) to make x stand alone

That's

<h3>\frac{x(k + y)}{k + y}  =  \frac{u}{k + y}</h3>

We have the final answer as

<h3>x =  \frac{u}{k + y}</h3>

Hope this helps you

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