Question

ichael is making a large batch of smoothies. The recipe calls for 4 strawberries for every banana. Michael used 55 fruits all together.
The system of equations tells you that s is equal to 4b. To find the value of b, we can substitute 4b for s in the second equation. Do that now.
s=4b
s+b=55

s + b = 55
+ b = 55

Answer 1

We can substitute \( s \) (which is \( 4b \)) into the second equation \( s + b = 55 \).

Given:
1. \( s = 4b \)
2. \( s + b = 55 \)

Substituting \( 4b \) for \( s \) in the second equation:

\[
4b + b = 55
\]

Combining like terms:

\[
5b = 55
\]

Now, divide both sides by 5:

\[
b = \frac{55}{5} = 11
\]

So, \( b = 11 \).

Now, we can find \( s \) by substituting \( b \) back into the first equation:

\[
s = 4b = 4 \times 11 = 44
\]

Thus, Michael used 44 strawberries and 11 bananas for his smoothies.