Let student tickets be s and adult tickets be a. The number of tickets sold of both adult and student then is s + a = 396. If each student ticket costs $3, then we represent the money equation by tacking the dollar amount onto the ticket. 3s is the cost of one student ticket. 4a is the cost of an adult ticket. The total money from the sales of both is 4a + 3s = 1385. We now have a system of equations we can solve for a and s. If s+a=396, then s = 396-a. We will sub that into the second equation to get 4a + 3(396-a) = 1385. Distributing we have 4a+1188-3a=1385. a = 197. That means there were 197 adult tickets sold. If s + a = 396, then s + 197 = 396 and s = 199. 197 adult tickets and 199 student tickets. There you go!
Given
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.
Total interest paid was $475
Find out he invest in each.
To proof
Let us assume that Paul invested in an account paying 4% be = x
As given in the question
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.
Let us assume that Paul invested in an account paying 5% be = 3x
Total interest paid = $475
First convert 4% in the decimal form
= 0.04
First convert 5% in the decimal form
= 0.05
Than the equation become in the form
0.04x + 0.05 × 3x = 475
0.04x + 0.15x = 475
0.19x = 475
x = $2500
Paul invested in an account paying 4% be = $2500
Paul invested in an account paying 5% be = $7500
Hence proved
Answer: 0+0.0+0.00+0.000+0.0001
Step-by-step explanation: Break it down into pieces and add them together.
Answer:
(0,-5)
Step-by-step explanation:
Answer:
The angles are 54 2/3 degrees and 115 1/3 degrees
Step-by-step explanation:
make an equation for the angles x being one angle and y being the other
16+ 2x =y
Supplementary angles add to 180
x + y = 180
Fill in y with the first equation
x + 16 +2x =180
simplify
3x +16 =180
subtract 16 from both sides
3x = 164
divide both sides by 3
x = 54 2/3
Insert the value of x into the first equation then simplify
16 + 2(54 2/3) =y
16 + 109 1/3 =y
115 1/3 =y
