Hannah has $175 to spend. She buys $120 worth of non-taxable items. Some other items are taxable at 6%. Which inequality shows how much she can spend on taxable items before tax is applied?
F. x

Question

Hannah has $175 to spend. She buys $120 worth of non-taxable items. Some other items are taxable at 6%. Which inequality shows how much she can spend on taxable items before tax is applied?
F. x<=$3.30      H. x<=$51.89
G. x<=$45.09    J. x<=$165.09

mertsj · Answer

120+1.06x<175

perl · Answer

can you explain

whpalmer4 · Answer

non-taxable expenditure is $120
taxable is $1.06x  ($1x for the base amount, plus $0.06x for the tax)
she can spend up to $175, so the inequality is
$120 + $1.06x <= $175

now just rearrange to match one of your answer choices

perl · Answer

I did 175 - 120 = 55
and then
55 - .06*55 = 51.7

whpalmer4 · Answer

you have to do $55/1.06 = max you can spend to account for the tax correctly.

whpalmer4 · Answer

it's x + 6%*x = $55
1.06x = $55
x = $55/1.06