Stan took Lily to his friend’s restaurant on a date. The friend told the waiter to remove the $12 dessert from Stan’s bill. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip x(b-j)=87
To solve this equation, we need to isolate the variables and find their values.
Let's break down the information given:
bill (b) - cost of the meal and dessert before any discount or tip
reduced bill (j) - bill after the $12 dessert was removed
tip (x) - amount Stan gave as a tip, which was 20% of the reduced bill ($j)
We are given that the tip was $15:
x = 15
We are also given that the reduced bill was 20% of the original bill (b):
j = 0.20b
To find the value of b, we can divide both sides of the equation by 0.20:
j/0.20 = b
This simplifies to:
5j = b
Now we can substitute this value of b in our equation for x:
x(5j - j) = 87
Simplifying further:
x(4j) = 87
Substituting the given value for x:
15(4j) = 87
Multiplying:
60j = 87
Dividing both sides by 60:
j = 87/60
Therefore, the value of j is approximately 1.45.
In conclusion, the reduced bill (j) is approximately $1.45.