The Walnut Cove Ruritan Club sells hot dogs and drinks from a concession stand at the annual 4th of July parade. Carl bought 4 hot dogs and 6 drinks and paid $23.80. Susan purchased 4 hot dogs and 2 drinks and was charged $15.40. What is the cost of 1 hot dog and what is the cost of 1 drink?

Let, cost of 1 hot dog and 1 drink is x and y respectively.

Carl bought 4 hot dogs and 6 drinks and paid $23.80.

4x + 6y = 23.80  1)

Susan purchased 4 hot dogs and 2 drinks and was charged $15.40.

4x + 2y = 15.40  2)

Subtracting equation 2 by 1, we get :

(4x + 6y) - (4x + 2y) = 23.80 - 15.40

4y = 8.4

y = $2.1

4x + 6×2.1 = 23.80

4x = 23.80 - 12.2

4x = 11.6

x = 2.9

Therefore, the  cost of 1 hot dog and what is the cost of 1 drink is $2.9 and $2.1 respectively.

Hence, this is the required solution.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: