Michael is making a large batch of smoothies. The recipe calls for 4 strawberries for every banana. Michael used 55 fruits all together.

You found that in this system of equations, s=44 when b=11. What does this solution mean in the context of this problem?
s=4b
s+b=55

b=11
s=44

The solution shows that Michael used 44 strawberries and 11 bananas to make the large batch of smoothies.

The solution shows that Michael used 11 times as many bananas as strawberries.

The solution shows that Michael used 11 strawberries and 44 bananas to make the large batch of smoothies.

1 answer

The solution \( s = 44 \) when \( b = 11 \) means that Michael used 44 strawberries and 11 bananas to make the large batch of smoothies.

This can be confirmed by plugging these values back into the equations of the system:

  1. \( s = 4b \) becomes \( 44 = 4(11) \) which is correct.
  2. \( s + b = 55 \) becomes \( 44 + 11 = 55 \) which is also correct.

Therefore, the correct interpretation is: The solution shows that Michael used 44 strawberries and 11 bananas to make the large batch of smoothies.