Mark runs a stall selling handmade cards and bookmarks.

Each handmade card cost $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 answer

The cost of selling handmade cards is $20.00 each, and the cost of selling bookmarks is $2.50 each.

Let x be the quantity of bookmarks Mark must sell.

To find the total sales, we need to sum the cost of the handmade cards and the cost of the bookmarks:

Total sales = (Cost of handmade cards) + (Cost of bookmarks)

Since Mark must sell at least one handmade card, the cost of the handmade cards is $20.00:

Cost of handmade cards = $20.00

The cost of the bookmarks is $2.50 each, and Mark must sell x bookmarks:

Cost of bookmarks = $2.50 * x = 2.50x

Therefore, the total sales can be represented as:

Total sales = $20.00 + 2.50x

Mark wants his total sale to reach a minimum of $90.00, so we can write the inequality:

Total sales ≥ $90.00

Replacing the total sales expression, we have:

$20.00 + 2.50x ≥ $90.00

This inequality represents the various quantities of bookmarks (x) Mark must sell.
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