A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought?

ANSWERS

2016-09-27 13:06:26

y= # of pencils z= # of pens 1y + 1.50z = 7 Total # of pencils and pens combined equals 6 4 pencils = $4 2 pens = $3 $4 + $3 = $7 4 pencils + 2 pens = 6 items total

2016-09-27 13:07:41

Let pencil represent x pen represent y Next, we have this two equation: x+1.5y=7 x+y=6 Then, I will use substitution to find the value of x and y: x+1.5y=7 - x+y=6 = 0.5y=1 y=2 pens x+y=6 x+2=6 Subtract 2 for both side x+2-2=6-2 x=4 pencils Check: x+y=6 items 4+2=6 items Right x+1.5y=7 4+1.5(2)=$7 $4+$3=$7 $7=$7 As a result, there are 4 pencils , and 2 pens. Hope it help!

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