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Answer
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.
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!!!