Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost after using the coupon shown is $4.12, write an equation that can be used to find the value of c.

Respuesta :

Answer:

[tex]4.12=2.45c+1.65c[/tex]

Step-by-step explanation:

We are given,

Cameron buys 2.45 pounds of apple and 1.65 pounds of pears.

Also, the cost of apples and pears is 'c' dollars per pound.

Thus, the cost of 2.45 pounds of apple is [tex]2.45c[/tex] dollars and the cost of 1.65 pounds of pear is [tex]1.65c[/tex] dollars.

Since, the total cost after using a coupon is $4.12.

So, we get the equation representing the situation is,

Total cost = Total cost of apples + Total cost of pears.

i.e. [tex]4.12=2.45c+1.65c[/tex]

i.e. [tex]4.12=4.1c[/tex]

i.e. [tex]c=\frac{4.12}{4.1}[/tex]

i.e. c = 1 dollar

Hence, the required equation to find c is [tex]4.12=2.45c+1.65c[/tex].