The local pavilion is hosting an outdoor concert. There are both lawn seats and reserved seating available. Lawn seats cost$10, while

Let the lawn seats purchased by the business be : L

Let the reserved seats purchased by the business be : R

Given :

⊕   Cost of each lawn seat : $10

⊕   Cost of each reserved seat : $25

⊕   Sponsoring business has given the $375 to purchase seats

⊕   School purchased 30 seats using all of the money

⇒   L + R = 30         (1)

⇒   10L + 25R = 375             (2)

Multiplying equation (1) with 10, we get :

⇒   10L + 10R = 300       (3)

Subtracting equation (3) from equation (2), we get :

⇒   10L + 25R - (10L - 10R) = 375 - 300

⇒   25R - 10R = 75

⇒   15R = 75

⇒   R = 5

Substituting R = 5 in equation (1), we get :

⇒   L + 5 = 30

⇒   L = 25

The Business purchased 25 lawn seats and 5 reserved seats

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

[tex]\frac{2}{5}=\frac{x-18}{x}[/tex]

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

[tex]\frac{2}{5}=\frac{30-18}{30}[/tex]

[tex]\frac{2}{5}=\frac{12}{30}[/tex]