9514 1404 393
Answer:
102
Step-by-step explanation:
The total of ratio units is ...
6 + 3 + 8 = 17
The difference between the Charlie's ratio units and Adrian's ratio units is ...
8 - 6 = 2
That is, the total number of ratio units is 17/2 = 8.5 times that difference.
The actual difference is 12 sweets, so the total number of sweets is ...
8.5 × 12 = 102 . . . . total sweets
5.5 ( 8 - x ) + 44 = 104 - 3.5 ( 3x + 24 )
Distribute 5.5 through the parenthesis.
44 - 5.5x + 44 = 104 - 10.5x - 84
Add the numbers.
88 - 5.5x = 20 - 10.5x
Move variable to the left side and change its sign.
88 - 5.5x + 10.5x = 20
-5.5x + 10.5x = 20 -88
Collect like terms.
5x = 20 - 88
Calculate the sum or difference.
5x = - 68
Divide both sides by 5.
x = - 68 / 5
219. 445 tickets are what you start off with. Multiply that by .6 (three-fifths) to find how many are sold. 226 were sold which means 219 are remaining unsold.
9/21 as the original
1/7 is the simplified version
