Kate spent $64 on some stationery. 4/11 of the items that she bought
were erasers and the rest were pens. Each eraser cost $1.20 and
each pen cost $1.60. How many erasers and pens did Kate buy
altogether?
Let the total items bought be x.
Erasers = 4x/11, Pens = 7x/11
Erasers = $1.20, Pen = $1.60
4x/11 * 1.2 + 7x/11 * 1.6 = 64
4.8x + 11.2x = 64 * 11
16x = 64 * 11
x = 4 * 11 => x = 44
No. of erasers = (4 * 44)/11, No. of pens = (7 * 44)/11
= 16 = 28