Question

Takeru only uses eggs for soufflés in his restaurant. He uses

Answer 1

Question:

Takeru only uses eggs for soufflés in his restaurant. He uses 3 eggs per soufflé. Last week, he bought 4 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:

Takeru bought  72 eggs and made 18 souffles

Step-by-step explanation:

Given:

Number of eggs per souffle   = 3

Number of left over egg  = 18

Number of eggs  bought  = 4 times as he baked soufflés

To find:

Number of many eggs did Takeru buy = ?

Number of souffles baked = ?

Solution:

Let x  be number of souffles Takeru  

Let y be number  eggs

Then, the question says that he bought 4 times as many eggs as he baked souffles.

so the number of eggs  

y = 4x----------------------------(1)

After making x souffles he is left with 18 eggs, and for making x souffle he uses 3x eggs ,so

Total eggs - eggs used to make x souffle = 18

y - 3x  =18-------------------(2)

substituting (1) in (2)

4x - 3x  = 18

x = 18--------------------------(3)

Substituting (3) in(1)

y = 4(18)

y = 72