# Math Help - Constructing Linear Equations

1. ## Constructing Linear Equations

Can someone please explain how you work this sum out, preferrably step by step?

A shopkeeper buys a crate of eggs at $1.50 per dozen. He buys another crate, containing 3 dozen more than the first crate, at$2.00 per dozen. He sells all for $2.50 a dozen and makes$15 profit. How many dozens were there in each of the crates?

2. Originally Posted by 22upon7
Can someone please explain how you work this sum out, preferrably step by step?

A shopkeeper buys a crate of eggs at $1.50 per dozen. He buys another crate, containing 3 dozen more than the first crate, at$2.00 per dozen. He sells all for $2.50 a dozen and makes$15 profit. How many dozens were there in each of the crates?
Let there be x dozens in the first crate

then dozens in the second crate=......

amount of purchase=dozen*buying price per dozen

selling amount=dozen*selling price per dozen

cost of purchase= x.$1.5 +(x+3).$2
selling amount=(2x+3).$2.5 profit($15)=(2x+3).$2.5-[x.$1.5 +(x+3).\$2]