Question

If the clothing maker bought 500 m2 of this fabric, how much money did he lose?
Use 1tepiz=0.625 dollar and 0.9144m=1yard.

Answer 1

$53,238

Further explanation

Given:

• 1 tepiz = $0.625.
• 1 yard = 0.9144 m.
• The initial price of 400 tepizes/m² on the small island.
• The clothing maker bought 500 m² of this fabric on the small island.
• The price of this cloth in New York is $120/yd².

Question:

How much money did he lose?

The Process:

We prepare 1 yd² in m².

$\boxed{ \ (1 \ yard)^2 = (0.9144 \ m)^2 \rightarrow 1 \ yd^2 = 0.8361 \ m^2\ }$

Let's calculate the total cost of purchasing on the small island.

$\boxed{ \ 500 \ m^2 \times \frac{400 \ tepizes}{m^2} \times \frac{\ 0.625}{tepizes} = \boxed{ \ \ 125,000 \ } \ }$

Then we find out also how many purchases if he bought in New York.

$\boxed{ \ 500 \ m^2 \times \frac{1 \ yd^2}{0.8361 \ m^2} \times \frac{\ 120}{yd^2} = \boxed{ \ \ 71,762 \ } \ }$

We can see the difference in total purchases made by the clothing maker when he decided to buy on the small island compared to New York. This difference is the loss he experienced.

Thus, he lost $\boxed{ \ \ 125,000 - \ 71,762 = \boxed{ \ \ 53,238 \ } \ }$

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Keywords: the clothing maker, bought, fabric, small island, tepizes, yard, yd², m², $, dollar, New York, purchases, how much money did he lose

Answer 2

The amount that cloth maker lose is $\boxed{\ 53140}.$

Further explanation:

Given:

The clothing maker bought  of this fabrics.

Explanation:

$\boxed{1{\text{tepiz}} = 0.625{\text{ dollar}}}.$

Clothing maker paid $400{\text{tepiz}}$ for $1{\text{ }}{{\text{m}}^2}.$

$\boxed{0.9144{\text{ m}} &= 1{\text{ yard}}}.\begin{aligned}1{\text{yar}}{{\text{d}}^2} &= {0.9144^2}{\text{ }}{{\text{m}}^2}\\&={\text{ 0}}{\text{.8361 }}{{\text{m}}^2}{\text{ }}\\\end{aligned}$

Total tepizes can be obtained as foll$500{\text{ }}{{\text{m}}^2}$ows,

$500{\text{ }}{{\text{m}}^2} \times \dfrac{{400}}{{{{\text{m}}^{\text{2}}}}} = 200000{\text{ tepizes}}$

The area in yards can be calculated as follows,

$500{\text{ }}{{\text{m}}^2} \times \dfrac{{1{\text{ yar}}{{\text{d}}^2}}}{{0.8361{\text{ }}{{\text{m}}^2}}} = 598{\text{ yar}}{{\text{d}}^2}$

The cost of $1{\text{yar}}{{\text{d}}^2} \;\text{is}\; \ 120.$

The cost for $598{\text{yar}}{{\text{d}}^2}$ can be obtained as follows,

$598{\text{yar}}{{\text{d}}^2} \times \dfrac{{120}}{{{\text{yar}}{{\text{d}}^2}}} = 71760$

Now convert tepiz to dollar.

$200000 \times 0.625{\text{ dollars}} = \ 125000$

Loss can be calculated as follows,

$\begin{aligned}{\text{Loss}} &= 125000 - 71760\\&= \ 53140\\\end{aligned}$

The amount that cloth maker lose is $\boxed{\ 53140}.$

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Mensuration

Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, height, radius depth.