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.

Answer 1

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:

`4.98+0.7x\leq 20` inequality that can be used to find the original price, x, of a calculator lyla can buy

Solution:

Given that,

Lyla has $ 20 to spend

So she can spend entire $ 20 or less than $ 20

Total amount she has = $ 20

She plans to buy a package of pens for $4.98

Cost of package of pens = $ 4.98

She also wants to buy a calculator

Let "x" be the original price of calculator

All calculators are being sold for 30 percent less than the original price

Selling price of calculator = original price - 30 % of original price

Selling price of calculator = x - 30 % of x = x - 0.3x = 0.7x

Selling price of calculator = 0.7x

Thus a inequality can be framed as:

Cost of package of pens + Selling price of calculator
`\leq` 20

`4.98+0.7x\leq 20`

This means that, combined cost of package of pen and selling price of calculator must be less than or equal to the amount with Lyla ( 20 $ )

Thus the inequality is found