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?
A. x > 70 but the > has a line underneath it
B. x > 36 but the > has a line underneath it
C. x > 16 but the > has a line underneath it
D. x > 28 but the > has a line underneath it
Let's say Mark sells x bookmarks. The total sales from selling x bookmarks would be 2.50x.
To reach a minimum of $90.00 in total sales, we need to add the cost of at least one handmade card to the total.
Since each handmade card costs $20.00, the total sales will be at least 20.00 + 2.50x.
Therefore, the inequality representing the various quantities of bookmarks Mark must sell is:
20.00 + 2.50x > 90.00
Simplify the inequality:
2.50x > 70.00
x > 70/2.50
Which is equivalent to:
x > 28
Thus, the correct inequality is x > 28.