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?

5 answers

To represent the inequality, we need to consider that Mark wants to sell at least one handmade card (which costs $20.00) and some bookmarks (which cost $2.50 each). Let x represent the quantity of bookmarks Mark sells.

The inequality will be:

$20.00 (cost of handmade card) + $2.50 (cost of each bookmark) * x (quantity of bookmarks) ≥ $90.00.

Simplifying the inequality, we have:

$20.00 + $2.50x ≥ $90.00.

This is the inequality that represents the various quantities of bookmarks (x) Mark must sell.
wrong
Apologies for the incorrect response.

To represent the inequality, let's assume Mark sells at least one handmade card (which costs $20.00) and x bookmarks (which cost $2.50 each).

Therefore, the cost of the handmade card will not change, and the cost of x bookmarks will be $2.50 * x.

The total sales must reach a minimum of $90.00. So, the inequality that represents the various quantities of bookmarks (x) Mark must sell is:

$20.00 + $2.50x ≥ $90.00.

This inequality ensures that the total sales from the handmade cards ($20.00) and the bookmarks ($2.50 * x) is at least $90.00.
thats not a response. Here are the responses
x≥70
x≥36
x≥16
x≥28
Apologies for the confusion. Let's break down the problem and find the correct inequality.

Let's assume Mark sells x bookmarks.

The cost of one handmade card is $20.00, so the total revenue from selling the cards is $20.00 * 1 = $20.00.

The cost of one bookmark is $2.50, so the total revenue from selling x bookmarks is $2.50 * x = $2.50x.

To reach a minimum of $90.00 in total sales, we can write the inequality:

$20.00 + $2.50x ≥ $90.00.

This inequality represents the various quantities of bookmarks (x) Mark must sell in order to achieve total sales of at least $90.00.

Now we can solve the inequality:

$20.00 + $2.50x ≥ $90.00.

Subtracting $20.00 from both sides:

$2.50x ≥ $70.00.

Dividing both sides by $2.50:

x ≥ 28.

Therefore, the correct inequality is x ≥ 28. This means that Mark must sell at least 28 bookmarks to reach a minimum of $90.00 in total sales.
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