Question

Lyla is shopping for school supplies. She has $20.00 to spend. She plans to buy a package of pens for $4.98. She also wants to buy a calculator. All calculators are being sold for 30 percent less than the original price. Write an inequality that can be used to find the original price, x, of a calculator Lyla can buy.

Answer 1

x divided by 30 because it is going down by 30 percent.. :)

Answer 2

She can effort calculators that costs $21.46 or lower.

Explanation:

We know that Lyla has $20.00 to spend, which is the maximum money she can use. In other words, she cannot spend more than $20.00, it's $20.00 or lower, this means we have to use
`\leq \$20` in the inequality, that's the restriction.

Now, we know that the package of pens is $4.98, and the calculators cost 30 percent less than the original price, that means they cost
`0.70x` with discount included.

So, the inequality that models this situation is

`\$4.98 + 0.70x \leq \$20`

Now, solve for
`x`

`\$4.98 + 0.70x \leq \$20\\0.70x \leq 20-4.98\\x\leq (15.02)/(0.70)\\ x\leq 21.46`

This means that Lyla can by a calculator which original price won't go higher than $21.46. She can effort calculators that costs $21.46 or lower.