Answer: To find the area that 1.6 litres of paint will cover, we can use the unit rate. The unit rate is a way to compare different quantities by finding how much of one quantity corresponds to one unit of another quantity.
We know that 750ml of paint covers an area of 12 m2, this means that the unit rate of paint:area is 750ml:12m^2
We can use this to find the area that 1.6 litres of paint will cover.
First we should convert the 1.6 litres of paint to milliliters, since we have the unit rate in ml:
1.6 litres = 1.6*1000 ml = 1600 ml
Now we can use the unit rate to find the area that 1.6 litres of paint will cover:
Area = (1600 ml paint) * (12 m2/750ml paint) = 21.333 m2
So, 1.6 litres of paint will cover approximately 21.333 m^2
Note that you could also use the proportion (750ml/12m^2) = (1600ml/x) to find the value of x.
Explanation: