Meera is making a fruit punch by mixing orange juice and pineapple juice. She needs to make 4 liters of the punch, and she wants the ratio of orange juice to pineapple juice to be 3:2. If she already has 1.2 liters of pineapple juice, how much orange juice in milliliters does she need?

To achieve the 3:2 ratio of orange juice to pineapple juice, we can set up a proportion with O for orange juice and P for pineapple juice.

She has 1.2L of pineapple juice and wants 4L of punch. So, there’s 1.2L of pineapple juice in the punch.

The ratio of orange juice to pineapple juice is 3:2, so we can set up the following proportion:

\$ (3/2) = ((O)/ (1.2)) \$

The amount of orange juice needed

\$ O = (3/2) \times (1.2) \$

After simplification we get

\$ O = 1.8 \$

So, Meera needs 1.8 liters of orange juice. To convert this to milliliters, remember that 1 liter is equal to 1000 milliliters:

\$ 1.8 "liters" \times (1000 ml) / ("liter") = 1800 "milliliters" \$

Meera needs 1800 milliliters of orange juice to achieve the desired ratio in her 4-liter fruit punch.

Answer

D