A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.
B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127
We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y
In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5
x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5
So the cost of each student is $3.5, and the cost of each teacher is $5.
Hope this helps! :)
Answer:
math a app good luck with the question
Answer:
LORD HAVE MERCY
Step-by-step explanation:
SLIDE EM POINTS AND TX
Hello! So, the jeans are 20% off of the original price. While she gets 20% off of the jeans, she still has to pay 80% of the price. To find out the discount price, multiply 38 by 80% (0.8). 38 * 0.8 is 30.4 $30.40 is the discount price. There is 5% tax on the item. First off, let's add 1 to the rate. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. We add 1 to the percentage rate, because adding that and multiplying that amount will bring us straight to the new price. Now, multiply 30.4 and 1.05 together to get the new price. When you do, you get 31.92. $31.92 is the price of the jeans. 31.92 < 32.50. Jackie has enough money to buy the jeans.
Answer:
$299
Step-by-step explanation:
Divide the discount amount through the discount percentage and multiply with a hundred percent, resulting in the full price.
($11,96)/4*100=$299
