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

Answer:

She can effort calculators that costs $21.46 or lower.

Step-by-step 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 $x$

$\ 4.98 + 0.70x \leq \ 20\\0.70x \leq 20-4.98\\x\leq \frac{15.02}{0.70}\\ x\leq 21.46$

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.