The startup division made 80% of 1/2 of the established division. The startup division’s growth was 1/3 greater than the established division’s. If the divisions made 280,000 combined, how much did the startup division make?
+4473 First, let's create variables:
s = startup division
e = established division
The startup division made 80% of 1/2 of the established division.
Let's take a look at what the above statement means: Making 80% of 1/2 means...
0.8 of 1/2 = 0.8*0.5 = 0.4 --> s = 0.4e.
Next: The startup division’s growth was 1/3 greater than the established division’s.
Seems like this is additional information is not needed.
If the divisions made 280,000 combined, how much did the startup division make?
s + e = 280,000 --> s = 280,000 - e, then we can substitude s = 0.4e for s -->
280,000 - e = 0.4e --> 1.4e = 280,000 --> e = 200,000.
This means that s = 80,000.
+4473 First, let's create variables:
s = startup division
e = established division
The startup division made 80% of 1/2 of the established division.
Let's take a look at what the above statement means: Making 80% of 1/2 means...
0.8 of 1/2 = 0.8*0.5 = 0.4 --> s = 0.4e.
Next: The startup division’s growth was 1/3 greater than the established division’s.
Seems like this is additional information is not needed.
If the divisions made 280,000 combined, how much did the startup division make?
s + e = 280,000 --> s = 280,000 - e, then we can substitude s = 0.4e for s -->
280,000 - e = 0.4e --> 1.4e = 280,000 --> e = 200,000.
This means that s = 80,000.
