The expresion 14.42d + 12.24c can be used to find the total cost of d punds of almonds and c pounds of cashews how much does it cost to buy 3 and a half pounds of almounds and 3 and a half punds of cashews

Respuesta :

Answer:

Therefore the total cost of [tex]3\frac{1}{2}[/tex] pound of almonds and [tex]3\frac{1}{2}[/tex] pound of cashews is

[tex]y=\frac{36.05}{d}+\frac{30.6}{c}[/tex]

[Where y is in $]

Step-by-step explanation:

[The unit of price is not given, I assume the unit of cost as $]

Given expression is 14.42 d + 12.24 c .

Where the amount of almond is denoted by d pounds.

and  the amount of cashews is denoted by c pounds.

The cost price of d pound of almond is $14.42.

The cost price of 1 pound of almond is [tex]\$\frac{14.42}{d}[/tex]

Then the cost of [tex]3\frac{1}{2}[/tex] pound of almond is [tex]=\$\frac{ 14.42 \times3 \frac{1}{2} }{d}[/tex]

                                                                 [tex]=\$\frac{36.05}{d}[/tex]

Again from the given expression we get that,

The cost price of c pound of cashews is $12.24

The cost price of 1 pound of cashews is [tex]=\$\frac{12.24}{c}[/tex]

Then the cost of [tex]3\frac{1}{2}[/tex] pound of cashews is [tex]=\$\frac{ 12.24 \times3 \frac{1}{2} }{c}[/tex]

                                                                    [tex]=\$\frac{30.6}{c}[/tex]

Therefore the total cost of [tex]3\frac{1}{2}[/tex] pound of almonds and [tex]3\frac{1}{2}[/tex] pound of cashews is

y = [tex]=\frac{36.05}{d}+\frac{30.6}{c}[/tex]

[Where y is in$]

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