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anyanavicka [17]
3 years ago
6

The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 or

anges?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

Step-by-step explanation:

We have,

The number of oranges purchased varies directly as the price of the oranges.

If the cost of 11 oranges is $2.35.

It is required to find the cost of 18 oranges.

As their is direct relation between number and oranges and price.

So,

The cost of 1 orange is $\dfrac{2.35}{11}.

For finding the cost of 18 oranges, multiply 18 by $\dfrac{2.35}{11} such that,

C=18\times \dfrac{2.35}{11}\\\\C=3.84

So, If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

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It's <span>Diophantine equation. 
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Now is the formula:
{\displaystyle {\begin{cases}x=x_{0}+n{\frac {b}{\gcd(a,\;b)}}\\y=y_{0}-n{\frac {a}{\gcd(a,\;b)}}\end{cases}}\quad n\in \mathbb {Z} .}

Second, we need the first pair (x0,y0) 
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Third, we gonna use that formula:
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8 0
3 years ago
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