Equations and inequalities
Question code: 0s't/Sht>\^>g{o7
Question 0102
Emily creates custom colored paints by mixing quantities (measured in litres, L) of cyan, magenta and yellow paint.
Four of her custom paints are named Aurora, Burgundy, Ceylon and Daisy.
The amount of individual paint used to make each custom paint and the cost of producing them are shown in the following table.
| Aurora | Burgundy | Ceylon | Daisy | |
|---|---|---|---|---|
| Cyan (L) | 4.50 | 0.70 | 4.55 | |
| Magenta (L) | 0.30 | 2.70 | 1.55 | 1.55 |
| Yellow (L) | 4.55 | 3.85 | 3.25 | 3.80 |
| Cost ($) | 28.80 | 19.66 | 32.86 | 27.64 |
Assuming that the cost per litre is the same for the cyan, magenta and yellow paints, calculate the cost per litre for each of these three paints
and the quantity of cyan paint used to make Daisy.
Answer
Magenta: $4.30/L.
Yellow: $1.20/L.
Quantity of cyan paint used to make Daisy: 3.35L.
Question code: 0s't/Sht>\^>g{o7