Question

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

Answer 1

Therefore the total cost of
`3(1)/(2)` pound of almonds and
`3(1)/(2)` pound of cashews is

`y=(36.05)/(d)+(30.6)/(c)`

[Where y is in $]

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
`\$(14.42)/(d)`

Then the cost of
`3(1)/(2)` pound of almond is
`=\$( 14.42 *3 (1)/(2) )/(d)`

`=\$(36.05)/(d)`

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
`=\$(12.24)/(c)`

Then the cost of
`3(1)/(2)` pound of cashews is
`=\$( 12.24 *3 (1)/(2) )/(c)`

`=\$(30.6)/(c)`

Therefore the total cost of
`3(1)/(2)` pound of almonds and
`3(1)/(2)` pound of cashews is

y =
`=(36.05)/(d)+(30.6)/(c)`

[Where y is in$]