Mark runs a stall selling handmade cards and bookmarks.

Question

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?

Answer 1

The total cost of the handmade cards is $20.00 times the number of handmade cards sold, which is 20x.
The total cost of the bookmarks is $2.50 times the number of bookmarks sold, which is 2.5x.
To reach a minimum of $90.00 in total sales, the inequality representing the various quantities of bookmarks (x) Mark must sell is:
20x + 2.5x ≥ 90.

Answer 2

x≥70x is greater than or equal to 70

x≥36x is greater than or equal to 36

x≥16x is greater than or equal to 16

x≥28

Answer 3

x represents the number of bookmarks Mark must sell, so instead of using x as a placeholder, we need to replace it with a variable such as b.

The correct inequality representing the various quantities of bookmarks (b) Mark must sell is:

b ≥ 70.

Answer 4

Sophie is eyeing a new bicycle that costs $1,200. She earns $160 per week from her part-time job. Currently, she has saved up $400. What inequality represents the minimum number of weeks (w) Sophie needs to work to afford the bicycle?(1 point)
Responses

Answer 5

Let w be the minimum number of weeks Sophie needs to work to afford the bicycle.

The amount Sophie earns in w weeks is 160w.
The amount she has already saved is $400.

To afford the bicycle, the total amount she earns and saves must be greater than or equal to $1,200.

So, the inequality representing the minimum number of weeks (w) Sophie needs to work to afford the bicycle is:

160w + 400 ≥ 1200.