Brandon is shopping at Old Navy during a sale. All shorts are $16 each and all t-shirts are $10 each.He has $100 to spend and would like to purchase at least 2 pairs of shorts.a) Write a system of linear inequalities to representthis situation, then graph.b)Using your graph, give two possible combinationsof shorts and Brandon can buy.
Accepted Solution
A:
Let x = the number of shorts bought y = the number of t-shirts bought
A pair of shorts costs $16 and a t-shirt costs $10. Brandom has $100 to spend. Therefore 16x + 10y ≤ 100 This may be written as y ≤ - 1.6x + 10 (1)
Brandon wants at least 2 pairs of shorts. Therefore x ≥ 2 (2)
Graph the equations y = -1.6x + 10 and x = 2. The shaded region satisfies both inequalities.
Answer: Two possible solutions are (a) 3 pairs of shorts and 4 t-shirts, (b) 4 pairs of shorts and 2 t-shirts.