Answer:
Takeru bought 72 eggs and baked 18 soufflés .
Explanation:
Let
e = number of eggs Takeru bought.
s = number of soufflés Takeru bought.
Then we know that Takeru bought 4 times as many eggs as he baked soufflés, therefore:
![e=4s.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mkipy4i0y329iitwo7x1tv7f08gqt8pfj9.png)
And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:
This says that from
eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.
Now we have two equations:
![(1).e=4s.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kontncchyeaggbo86d8fgywkaz5dpy48wo.png)
![(2).e-3s=18](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u8wwbhbzb86ttya9km8qi0bcw8dwacm3al.png)
We put the value of e from equation (1) into equation (2) and solve for s and get:
![s=18](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wvnwjhdf3k68kt29fs37vjpddx4vjxtgc6.png)
![e=4s=4*18=72.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/386ldufrwy7tjqy167np9fuxbxo3xsn1l5.png)
Thus
Number of eggs Takeru bought = 72.
Number of soufflés Takeru bought = 18.