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2 years ago

Solve the following proportion for u. 3/17 = u/13

Mathematics

2 answers:

mario62 [17]2 years ago

7 0

3/17=u/13
3*13=17u
39=17u
U=39/17=2.29

NeTakaya2 years ago

3 0

Answer:

2.294117647

Step-by-step explanation:

3/17 = u/13

Cross multiply:

3 * 13 = 17 * u

Simplifying

3 * 13 = 17 * u

Multiply 3 * 13

39 = 17 * u

Solving

39 = 17u

Move all terms containing u to the left, all other terms to the right.

Add '-17u' to each side of the equation.

39 + -17u = 17u + -17u

Combine like terms: 17u + -17u = 0

39 + -17u = 0

Add '-39' to each side of the equation.

39 + -39 + -17u = 0 + -39

Combine like terms: 39 + -39 = 0

0 + -17u = 0 + -39

-17u = 0 + -39

Combine like terms: 0 + -39 = -39

-17u = -39

Divide each side by '-17'.

u = 2

Simplifying

u = 2.294117647

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Number of units of first product = 112

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Step-by-step explanation:

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Second product details:

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Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = $x$

Let number of units of second product = $y$

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

$10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow 5x+4y = 2160...... (2)$

Multiplying equation (2) with 2 and subtracting equation (1) from it:

$8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}$

By equation (1):

$10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}$

Answer is:

Number of units of first product = 112

Number of units of second product = 400

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