Question

Enrique can spend at most $2240 to renovate his home. One roll of wallpaper costs $32, and one can of paint costs $28. He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Identify the graph that shows all possible combinations of wallpaper and paint that he can buy. Also, identify two possible combinations.

Answer 1

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 52 rolls of wallpaper with 20 can of paint.

Inequality

Inequality is the non equal comparison of two or more numbers and variables.

Let x represent the number of wallpapers and y represent the number of cans.

He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:

x ≥ 30   (1);

y ≥ 20    (2)

Also:

32x + 28y ≤ 2240    (3)

Plotting the 3 equations using geogebra online graphing tool, the possible solution is:

(30, 20), (52, 20)

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 52 rolls of wallpaper with 20 can of paint.

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