Question

Mayumi plans to buy pencils (x) and a notebook at the school store. A pencil costs $0.15 and a notebook costs $1.59 Mayumi has $5.00.Write an Inequality for this and Solve :Explain what your solution means for mayumi :

Answer 1

The inequality representing this scenario is

0.15x + 1.29 ≤ 5

On solving, the solution was

x ≤ 24.73

This means that the number of pencils Mayumi can buy is less than 24.73, that is, realistically, Mayumi can buy 24 or less pencils.

Step-by-step explanation

A pencil costs $0.15 and a notebook costs $1.59

Mayumi plans to buy x pencils and 1 notebook.

x pencils will cost (x) ($0.15) = 0.15x dollars

x pencils and a notebook will cost (0.15x + 1.29) dollars

And we know that this total cost can only be equal to or less than $5.00

So, the inequality representing this scenario is

0.15x + 1.29 ≤ 5

Solving,

0.15x + 1.29 ≤ 5

0.15x ≤ 5 - 1.29

0.15x ≤ 3.71

Divide both sides by 0.15

(0.15x/0.15) ≤ (3.71/0.15)

x ≤ 24.73

This means that the number of pencils Mayumi can buy is less than 24.73, that is, realistically, Mayumi can buy 24 or less pencils.

Hope this Helps!!!