Question

To make 1 batch of sky blue paint, Clare mixes 2 cups of blue paint with 1 gallon of white paint. What is the ratio of blue paint to white paint for 2 batches?​

Answer 1

For 2 batches, the ratio of blue paint to white paint Clare needs is 1:8; the amounts are 4 cups of blue paint to 32 cups of white paint.

Step-by-step explanation:

The student wants to know the ratio of blue paint to white paint needed for 2 batches of sky blue paint. Clare mixes 2 cups of blue paint with 1 gallon (16 cups) of white paint for 1 batch. For 2 batches, she would need 4 cups of blue paint and 32 cups (2 gallons) of white paint.

To find the ratio for 2 batches, we keep the relationship of the amounts the same as for 1 batch, which is 2 cups blue paint to 16 cups white paint (1 gallon). For 2 batches, it would be:

4 cups blue paint : 32 cups white paint

Simplifying the ratio by dividing both sides by 4 gives us 1:8. So, the ratio of blue paint to white paint for 2 batches is 1:8.