Answer:
d) (15, 10)
Step-by-step explanation:
Here, x represents the number of friendship cards and y represents the number of get-well cards,
∵ Each friendship card costs $ 2 and each get well card costs $ 1.50,
Thus, the total cost of x friendship cards and y get well cards = (2x + 1.50y) dollars
According to the question,
Total cost ≤ $ 50
⇒ 2x + 1.50y ≤ 50,
At (10, 30),
2(10) + 1.5(30) = 20 + 45 = 65 ≤ 50 ( False ),
At (18, 20),
2(18) + 1.5(20) = 36 + 30 = 66 ≤ 50 ( False ),
At (20, 10),
2(20) + 1.5(10) = 40 + 15 = 55 ≤ 50 ( False ),
At (15, 10),
2(15) + 1.5(10) = 30 + 15 = 45 ≤ 50 ( True ),
i.e. only (15, 10) follows the inequality 2x + 1.50y ≤ 50,
Hence, OPTION d) is correct.