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hayleegahr
09.02.2020 •
Mathematics
Ciarra and Ashley sold tickets for the high school basketball tournament. For the opening game of the tournament, girls sold 20 students tickets and 30 non-students tickets and made $190. For the championship game, they sold 50 students tickets and 40 non-students tickets and made $300. What was the price of a student ticket? What was the price of a non-student ticket?
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Ответ:
a = $2, b = $5
Step-by-step explanation:
We begin by converting the two scenarios into simultaneos linear equations.
let a = student tickets and b = non-student tickets
20a + 30b = $190
50a + 40b = $300
from equation 1, 20a + 30b = 190
a = 190/20 - 30b/20
a = 9.5 - 1.5b
Substituting this into equation 2,
50(9.5 - 1.5b) + 40b = 300
475 - 75b + 40b = 300
475 - 35b = 300
-35b = 300 - 475
-35b = -175
b = 175/35
b = $5
Now we proceed to put the value of b into equation 1;
20a + 30b = $190
20a + 30($5) = $190
20a + $150 = $190
20a = $190 - $150
20a = 40
a = $2
Step-by-step explanation:
Ответ:
72%
Step-by-step explanation:
Express her score as a fraction and multiply by 100% to make the percentage