Answer :
We start by finding out how much water is needed for 13 batches of green slime. The recipe requires
[tex]$$11.5 \text{ pints}$$[/tex]
of water. Since there are [tex]$2$[/tex] cups in [tex]$1$[/tex] pint, we convert pints to cups as follows:
[tex]$$11.5 \text{ pints} \times 2 \frac{\text{cups}}{\text{pint}} = 23 \text{ cups}.$$[/tex]
Paul has [tex]$23$[/tex] cups of water, which is exactly the amount needed. Therefore, Paul has enough water for the project.
Next, we determine how many tablespoons of cornstarch are needed to make 4 batches of green slime. The recipe calls for
[tex]$$\frac{1}{4} \text{ cup of cornstarch per batch.}$$[/tex]
For 4 batches, the total amount in cups is:
[tex]$$4 \times \frac{1}{4} = 1 \text{ cup}.$$[/tex]
Since there are [tex]$16$[/tex] tablespoons in [tex]$1$[/tex] cup, we calculate the number of tablespoons by:
[tex]$$1 \text{ cup} \times 16 \frac{\text{tablespoons}}{\text{cup}} = 16 \text{ tablespoons}.$$[/tex]
Thus, the final answers are:
1. Yes, Paul has enough water because he needs [tex]$11.5$[/tex] pints, which is equivalent to [tex]$23$[/tex] cups.
2. Paul needs [tex]$16$[/tex] tablespoons of cornstarch to make 4 batches of green slime.
[tex]$$11.5 \text{ pints}$$[/tex]
of water. Since there are [tex]$2$[/tex] cups in [tex]$1$[/tex] pint, we convert pints to cups as follows:
[tex]$$11.5 \text{ pints} \times 2 \frac{\text{cups}}{\text{pint}} = 23 \text{ cups}.$$[/tex]
Paul has [tex]$23$[/tex] cups of water, which is exactly the amount needed. Therefore, Paul has enough water for the project.
Next, we determine how many tablespoons of cornstarch are needed to make 4 batches of green slime. The recipe calls for
[tex]$$\frac{1}{4} \text{ cup of cornstarch per batch.}$$[/tex]
For 4 batches, the total amount in cups is:
[tex]$$4 \times \frac{1}{4} = 1 \text{ cup}.$$[/tex]
Since there are [tex]$16$[/tex] tablespoons in [tex]$1$[/tex] cup, we calculate the number of tablespoons by:
[tex]$$1 \text{ cup} \times 16 \frac{\text{tablespoons}}{\text{cup}} = 16 \text{ tablespoons}.$$[/tex]
Thus, the final answers are:
1. Yes, Paul has enough water because he needs [tex]$11.5$[/tex] pints, which is equivalent to [tex]$23$[/tex] cups.
2. Paul needs [tex]$16$[/tex] tablespoons of cornstarch to make 4 batches of green slime.
