Let x = ounces of $35 perfume
Let y = ounces of $15 perfume.
We want a 3-ounce perfume, therefore
x + y = 3
or
y = 3 - x (1)
We want the 3-ounce perfume to cost $63. Therefore
35x + 15y = 63 (2)
Substitute (1) in (2).
35x + 15(3 - x) = 63
35x + 45 - 15x = 63
20x = 63 - 45 = 18
x = 18/20 = 0.9
From (1), obtain
y = 3 - 0.9 = 2.1
Answer:
0.9 ounces of $35 perfume and 2.1 ounces of $15 perfume.
In this question, there are 4 consolation door and 2 car doors of total 6 doors. That means for the first door the chance to get consolation is 4/6 and car is 2/6. In second door, only 5 remains so the chance to get consolation is either 4/5 (if 1st door car) or 3/5(if 1st door consolation)
Win 1 car condition:
1. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30
2. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30
8/30+8/30= 16/30
No car condition
1. 1st door consolation, 2nd door consolation= 4/6 * 3/5= 12/30
At least one car condition
1. 1st door car, 2nd door car = 2/6 * 1/5 =2/30
2. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30
3. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30
2/30 + 8/30 + 8/30= 18/30
Sarah's expenses are 2130/3120×100% = 68.3% of her income.
The amount left over is 100% - 68.3% = 31.7%
Answer:
D.6,600 ft
Step-by-step explanation:
I hope it helps