Algebra question

Question

Takeru only uses eggs for soufflés in his restaurant. He uses 3 eggs per soufflé. Last week, he bought 444 times as many eggs as he baked soufflés. Takeru had 18 eggs left over.

How many eggs did Takeru buy and how many soufflés did he bake?

Answer 1

I'm assuming you gave us wrong numbers, but you can replace the numbers I use below with the ones your problem gives. It's good to take problems like these and break them down into equations and variables.

Takeru bought uses 3 eggs per soufflé.

3 eggs per soufflé

Takeru bought 444 times as many eggs as he baked soufflés.

n soufflés made = (n x 444) eggs bought

Takeru has 18 eggs left.

(444 x n) eggs bought - n soufflés made x 3 eggs per soufflé = 18 eggs remaining.

Remove all the words and we have the equation:

444n - 3n = 18

Solve for n.

(444 - 3)n = 18

441n = 18

n = 18/441

Then, substitute the n in each equation, and you'll get your answers! (Don't forget to simplify!)

18/441 soufflés made. = 2/49 soufflés made.

444 x 18/441 eggs bought = 888/49 eggs bought.