There were ships with 3 masts and ships with 4 masts at the tall ship exhibition. mollie counted a total of 30 masts on 8 ships she saw. how many of these ships had 4 masts?

We will use x and y variables to help calculate the number of ships

x = variable for amount of ships with 4 masts
y = variable for amount of ships with 3 masts

Mollie saw a total of 30 masts on 8 ships.
Based on this, we can conclude that:

• x + y = 8 (x amount of 4 mast ships + y amount of 3 mast ships)

• 4x + 3y = 30 (the amount of masts she saw)

From these 2 equasions we can calculate the amount of ships. We will use the first equasion and put x on the right side of the equasion so we get the approximate value of y:


Now we insert (8 -x) into our second equasion in the place of y and calculate it:

RESULT: There were 6 ships with 4 masts

1/2

Step-by-step explanation:

The angle with measure 60° is one of those angles that has a well-known cosine value: cos(60°) = 1/2.