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 $12.24
The cost price of 1 pound of cashews is [tex]=\$\frac{12.24}{c}[/tex]
Then the cost of [tex]3\frac{1}{2}[/tex] pound of cashews is [tex]=\$\frac{ 12.24 \times3 \frac{1}{2} }{c}[/tex]
[tex]=\$\frac{30.6}{c}[/tex]
Therefore the total cost of [tex]3\frac{1}{2}[/tex] pound of almonds and [tex]3\frac{1}{2}[/tex] pound of cashews is
y = [tex]=\frac{36.05}{d}+\frac{30.6}{c}[/tex]
[Where y is in$]