x = number of shirts
y = number of pairs of pants
We know that each shirt costs $5 and each pair of pants costs $8. We need to find out how many items we can purchase if our budget is $119 (we can spend less than $119 as long as we are not over the budget).
5x + 8y ≤ 119
You can use the Desmos Graphing Calculator to type in the inequality and see the shaded region. There are possible combinations of buying shirts and pairs of pants. The answers will be in bold since we are looking for how many shirts and pairs of pants we can buy when the cost is $119.
If we purchased 0 shirts and 14 pairs of pants, then our cost is $112.
If we purchased 1 shirt and 14 pairs of pants, then our cost is $117.
If we purchased 2 shirts and 13 pairs of pants, then our cost is $114.
If we purchased 3 shirts and 13 pairs of pants, then our cost is $119.
If we purchased 4 shirts and 12 pairs of pants, then our cost is $116.
If we purchased 5 shirts and 11 pairs of pants, then our cost is $113.
If we purchased 6 shirts and 11 pairs of pants, then our cost is $118.
If we purchased 7 shirts and 10 pairs of pants, then our cost is $115.
If we purchased 8 shirts and 9 pairs of pants, then our cost is $112.
If we purchased 9 shirts and 9 pairs of pants, then our cost is $117.
If we purchased 10 shirts and 8 pairs of pants, then our cost is $114.
If we purchased 11 shirts and 8 pairs of pants, then our cost is $119.
If we purchased 12 shirts and 7 pairs of pants, then our cost is $116.
If we purchased 13 shirts and 6 pairs of pants, then our cost is $113.
If we purchased 14 shirts and 6 pairs of pants, then our cost is $118.
If we purchased 15 shirts and 5 pairs of pants, then our cost is $115.
If we purchased 16 shirts and 4 pairs of pants, then our cost is $112.
If we purchased 17 shirts and 4 pairs of pants, then our cost is $117.
If we purchased 18 shirts and 3 pairs of pants, then our cost is $114.
If we purchased 19 shirts and 3 pairs of pants, then our cost is $119.
If we purchased 20 shirts and 2 pairs of pants, then our cost is $116.
If we purchased 21 shirts and 1 pair of pants, then our cost is $113.
If we purchased 22 shirts and 1 pair of pants, then our cost is $118.
If we purchased 23 shirts and 0 pairs of pants, then our cost is $115.
