Question

Mark runs a stall selling handmade cards and bookmarks.

Each handmade card costs $20.00.
Each bookmark costs $2.50.
Mark wants his total sales to reach a minimum of $90.00 through the sale of at least one handmade card and several bookmarks. What inequality represents the various quantities of bookmarks (x) Mark must sell?

(1 point)
Responses

x≥70
x is greater than or equal to 70

x≥36
x is greater than or equal to 36

x≥16
x is greater than or equal to 16

x≥28
x is greater than or equal to 28
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Answer 1

[AI-generated answer — Bot GPT 3.5]

In order to find the inequality for the various quantities of bookmarks, we need to determine the minimum number of handmade cards Mark must sell to reach a sales total of $90.00.

Let's assume Mark sells x number of bookmarks and y number of handmade cards.

The cost of x bookmarks is 2.50x.
The cost of y handmade cards is 20y.
The total sales must reach a minimum of $90.00, so we can write the equation:

2.50x + 20y ≥ 90

However, the prompt states that Mark must sell at least one handmade card, so y must be greater than or equal to 1.

Therefore, the correct inequality for the quantities of bookmarks Mark must sell is:

x≥16