5 pears and 1 apple cost as much as 2 pears and 2 apples. If each apple costs $0.75,find the total cost of 100 pears and 450 apples.

I know it's in algebra based on the context and the next question is also algebra.

This is what I could do:

$y + $0.75 = $x

$d + $1.50 = $x

I don't know what to do next.


Solution 1:

You already know the cost of $450$ apples, as they are $75$ cents a piece. What you need are the cost of the pears (I will call the price of a single pear $p$). I hope you able to see that your information can be mathematically written as: \begin{equation} 5p+0.75=2p+1.5 \end{equation} This implies $p=0.25$, or each pear costs $25$ cents. I trust you can finish from here!