Answer:
The sale price of the coat is $187.50.
Explanation:
Given:
A coat and a pair of boots are on sale for 20% off.
The regular price of the coat is $225. And the regular price of the boots is 130.
Now, to find the sale price of the coat.
Let the sale price of the coat be
.
Sale off = 20%
And the regular price of coat = $225.
According to question:
Sale price + sale off = Regular price.
![x+20\%\ ofx=\$225](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dtn311vdeorcwvffvzp3fwofxci2noemqo.png)
⇒
![x+(20)/(100) * x=225](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gx7t7euq11ujicerg14yg2piwhygptnkzd.png)
⇒
![x+0.20x=225](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jf8c618y1anrtdj1exzylwyfi05hh88xzc.png)
⇒
![1.20x=225](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oab1ficnk9jj5j4n1navrtuoaa5wxkqbvk.png)
Dividing both sides by 1.20 we get:
⇒
![x=\$187.50](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8e7xjw66gl8j9busgropa8uoxguo7hnovv.png)
Therefore, the sale price of the coat is $187.50.