Mara bought 8 boxes of pencils and 3 packages of pens for $24. At the same store, Elaine bought 4 boxes of pencils and 6 package
s of pens for $30. How much does one box of pencils cost
1 answer:
Answer:
pencils=$4
pen=$1.5
Step-by-step explanation:
Step one:
given data
let pencils be x and pens be y
Mara bought 8 boxes of pencils and 3 packages of pens for $24
8x+3y=24------------1
Elaine bought 4 boxes of pencils and 6 packages of pens for $30
4x+6y=30------------2
solve 1 and 2 simulteneoulsy
8x+3y=24---------X1
4x+6y=30----------X2
subtract the answer bellow
8x+3y=24
8x+12y=60
0-9y=-36
divide both sides by- 9
y=36/9
y=$4
put y= 4 in 1
8x+3*4=24
8x+12=24
8x=24-12
8x=12
divide both side by 8
x= 12/8
x=3/2
x= $1.5
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