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Simora [160]
3 years ago
15

Cecil Green sells golf hats. He knows that most people will not pay more than $20 for a golf hat. Cecil needs a 40% markup on co

st. What should Cecil pay for his golf hats? (Round your answer to the nearest cent.) Cecil pays $
Mathematics
1 answer:
ahrayia [7]3 years ago
6 0
If we call the cost C then Cecil has to mark the product up 40% of C. That means he needs to charge the whole cost (100%) + 40% of the cost.

That is 140% of C. This amount needs to be $20.

In an equation we have 140% of C which can be written ( \frac{140}{100} )C set equal to $20. We solve for C which is the cost or what Cecil should pay for a hat.

(\frac{140}{100} )C=20
(\frac{7C}{5} )= \frac{20}{1}

This is a proportion so we cross-multiply to solve:
100=7c
\frac{100}{7} =C
C=$14.29
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Which set of numbers are equivalent?
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C

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3 0
3 years ago
A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se
nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

<em>First product details:</em>

Unit volume = 10 cu ft

Weight of one unit = 50 lb

<em>Second product details:</em>

Unit volume = 3 cu ft

Weight of one unit = 40 lb

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

6 0
3 years ago
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