Alister has 5 half pound chocolate bars. it takes 1 1/2 pounds of chocolate, broken into chunks, to make a batch of cookies. how many batches can alistair make with the chocolate he has on hand?
Alister can make one full batch with 1 pound of chocolate bars left over
Answer:
\(\frac{5}{3}\) batches of cookies.
Step-by-step explanation:
We have been Alister has 5 half pound chocolate bars. The amount of chocolate bars would be \(\frac{5}{2}\) pounds.
We have been given that it takes 1 1/2 pounds of chocolate, broken into chunks, to make a batch of cookies.
To find the number of batches that Alister can make from \(\frac{5}{2}\) pounds, we will divide \(\frac{5}{2}\) pounds by \(1\frac{1}{2}\) pounds.
\(\text{Number of batches of cookies}=\frac{5}{2}\div 1\frac{1}{2}\)
\(\text{Number of batches of cookies}=\frac{5}{2}\div \frac{3}{2}\)
Convert to multiplication problem:
\(\text{Number of batches of cookies}=\frac{5}{2}\times \frac{2}{3}\)
\(\text{Number of batches of cookies}=\frac{5}{3}\)
Therefore, Alister can make only \(\frac{5}{3}\) batches of cookies with the chocolate he has on hand.