Question

solve algebraically: lara bought 2 pencils and a eraser for $1.50. if a pencil costs 30 cents more than an eraser, how much does a pencil cost ?

Answer 1

change $1.50 to 150 cents
150= 2(x+30) +x
150= 2x +60 + x
150-60 = 2x +x
90= 3x
90/3=x
x= 30
30+30= 60
One pencil cost 60 cents

Answer 2

2p+e=1.50
p=0.30+e
to make it easier
minus 0.30
p-0.30=e

sub p-30 for e
2p+p-0.30=1.50
3p-0.30=1.50
add 0.30 to both sides
3p=1.80
divide both sides by 3
p=0.60

a pencil costs 60 cents