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
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