We are required to find the total sum of money given the fraction
The total sum of money is $9
let
<em>Total sum of money</em> = x
<em>8 1/3 of x = $75</em>
8 1/3 × x = $75
25/3 × x = 75
25/3x = 75
Divide both sides by 25/3
x = 75 ÷ 25/3
x = 75 × 3/25
x = (75 × 3) / 25
x = 225 / 25
x = 9
Therefore, the total sum of money is $9
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Answer:
21 child tickets
Step-by-step explanation:
For this problem, you'd use a system of equations.
First, define your variables.
x = # of child tickets sold
y = # of adult tickets sold
There were 4 times as many adult tickets (y) as child tickets (x) sold, so:
4 x = y
4 x - y = 0
93 (4 x - y = 0)
372 x - 93 y = 0
The total revenue was $909.30, adult tickets were $9.30 each, child tickets were $6.10 each, so:
6.10 x + 9.30 y = 909.30
10 (6.10 x + 9.30 y = 909.30)
61 x + 93 y = 9093
372 x - 93 y = 0
433 x = 9093
433 x / 433 = 9093 / 433
x = 21
Answer:c
Step-by-step explanation:
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Answer:
x = 8 y = 8
Step-by-step explanation:
Multiply 2nd equation by -3 to get -6x - 3y = -72
Now 4x + 3y = 56
<u>-6x - 3y = -72</u>
-2x = -16
x = 8
Substitute x = 8 into the 2nd equation
2(8) + y = 24
16 + y = 24
y = 8
Check: Substitute the values into the 1st equation
4(8) + 3(8) = 32 + 24 = 56 So we have the correct values for x and y
Answer:
t ≥ 96 test score must be 96 or greater
Step-by-step explanation:
Let t - score on his third test
(75 + 81 + t) ÷ 3 ≥ 84
⇒ (75 + 81 + t) ≥ 84 x 3
⇒ (75 + 81 + t) ≥ 252
⇒ 156 + t ≥ 252
⇒ t ≥ 252 - 156 ≥ 96
