Assume that the number of adult tickets is a and the number of child tickets is c.
We are given that the adult ticket is sold for 20$, the child ticket is sold for 10$ and that the total is $15,000. This means that:
20a + 10c = 15,000 ..........> equation I
We are also given that number of child tickets is 3 times that of adult's. This means that:
c = 3a .........> equation II
Substitute with equation II in equation I to get a as follows:
20a + 10c = 15,000
20a + 10(3a) = 15,000
20a + 30a = 15,000
50a = 15,000
a = 300 tickets
Substitute with the value of a in equation II to get c as follows:
c = 3a
c = 3(300)
c = 900 tickets
Based on the above calculations,
number of child tickets = 900 ticket
number of adult tickets = 300 ticket
5(15)+(15)(15)=75+225
=300
Answer: The dollar sales volume will be $4000
Step-by-step explanation:
Let x represent the amount of sales volume for which the two offers result in the same pay.
Company A offers a weekly salary of $360 plus a commission of 18% on their dollar sales volume. This means that the total value offered by company A for x sales volume is
360 + 0.18x
Company B offers a weekly salary of $720 plus commission of 9% on their dollar sales volume. This means that the total value offered by company B for x sales volume is
720 + 0.09x
For the two offers to be the same, the sales volume would be
360 + 0.18x = 720 + 0.09x
0.18x - 0.09x = 720 - 360
0.09x = 360
x = 360/0.09
x = $4000
Answer:
41 2/3 feet
Step-by-step explanation:
The sum of wall lengths (in feet) is ...
(12 1/4) + (10) + (12 1/4) + (10 -2 5/6)
= (12 + 10 + 12 + 8) + (1/4 + 1/4 - 5/6)
= 42 + (3/12 + 3/12 -10/12)
= 42 - 4/12 = 42 - 1/3
= 41 2/3 . . . feet
Answer:
40.2
Step-by-step explanation:
Diameter = 16, Radius = 16/2 = 8
Central angle = 2π/5 radians = 72°
Sector area,
8²π×(72/360)
= 64π/5
= 40.2 (rounded to the nearest tenth)
Answered by GAUTHMATH