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Two boating charter companies operate out of a port. Maritime Voyage charges $250 for the boat rental and $25 per person. Catamaran Command charges $75 for the boat rental and $50 per person. If a group has 10 customers, which charter should they choose?

a. Maritime Voyage; choose this charter for less than 13 customers.
b. Maritime Voyage; choose this charter for more than 7 customers.
c. Catamaran Command; choose this charter for more than 7 customers.
d. Catamaran Command; choose this charter for less than 13 customers.

3 answers

To determine which charter company provides the lower total cost for a group of 10 customers, we can calculate the total cost for both Maritime Voyage and Catamaran Command.

Maritime Voyage:

  • Boat rental = $250
  • Cost per person = $25
  • Total cost for 10 people = $250 + (10 * $25) = $250 + $250 = $500

Catamaran Command:

  • Boat rental = $75
  • Cost per person = $50
  • Total cost for 10 people = $75 + (10 * $50) = $75 + $500 = $575

Now we can compare the total costs:

  • Maritime Voyage total cost = $500
  • Catamaran Command total cost = $575

Since $500 (Maritime Voyage) is less than $575 (Catamaran Command), the group should choose Maritime Voyage.

Now, let's analyze the options provided: a. Maritime Voyage; choose this charter for less than 13 customers. (True) b. Maritime Voyage; choose this charter for more than 7 customers. (True) c. Catamaran Command; choose this charter for more than 7 customers. (False) d. Catamaran Command; choose this charter for less than 13 customers. (False)

Based on the calculations, the correct answer is: b. Maritime Voyage; choose this charter for more than 7 customers.

Your friend is thinking of two numbers. The sum of the two numbers 34, and their difference is 12. Using the system of equations shown, what are the two numbers?
x + y = 34
x - y = 12

a. 23 and 11
b. 17 and 12
c. 19 and 15
d. 21 and 9

To solve the system of equations given by:

  1. \( x + y = 34 \)
  2. \( x - y = 12 \)

we can use the method of substitution or elimination. Here, I'll use elimination.

First, we can add the two equations together:

\[ (x + y) + (x - y) = 34 + 12 \]

This simplifies to:

\[ 2x = 46 \]

Now, divide both sides by 2:

\[ x = 23 \]

Now that we have \( x \), we can substitute \( x \) back into one of the original equations to solve for \( y \). We'll use the first equation:

\[ 23 + y = 34 \]

Subtract 23 from both sides:

\[ y = 34 - 23 \]

This gives us:

\[ y = 11 \]

Thus, the two numbers are \( x = 23 \) and \( y = 11 \).

Therefore, the correct answer is:

a. 23 and 11.