Question

turning green
your teacher mixed milliliters (ml) of blue water and ml of yellow water in the ratio
1 doubling the original recipe:
a draw a diagram to represent the amount of each color that you will combine to
double your teacher’s recipe.
b use a marker to label an empty cup with the ratio of blue water to yellow water
in this double batch.
c predict whether these amounts of blue and yellow will make the same shade of
green as your teacher’s mixture. next, check your prediction by measuring
these amounts and mixing them in the cup.
d is the ratio in your mixture equivalent to the ratio in your teacher’s mixture?
explain your reasoning.

Explanation:

Step1: Identify original ratio

Original ratio: Blue : Yellow = $5:15$

Step2: Double each quantity

Blue: $5 \times 2 = 10$ mL, Yellow: $15 \times 2 = 30$ mL

Step3: Simplify both ratios

Original simplified: $\frac{5}{5}:\frac{15}{5}=1:3$
Doubled simplified: $\frac{10}{10}:\frac{30}{10}=1:3$

Answer:

a. (Diagram: Two sets of segments - one set with a 5-unit segment for blue and 15-unit for yellow; the doubled set has a 10-unit segment for blue and 30-unit for yellow, visually showing the scaled amounts.)
b. Label the cup with "10 mL Blue : 30 mL Yellow" or simplified "1:3"
c. Prediction: Yes, these amounts will make the same shade of green. When mixed, the resulting green will match the teacher's mixture.
d. Yes, the ratios are equivalent. Both simplify to the ratio $1:3$, meaning the proportion of blue to yellow water is identical, so the shade of green is the same.