Question

Laurie and Maya sold at most $50 worth of get-well and friendship cards. The friendship cards, x, were sold for $2 each and the get-well cards, y, were sold for $1.50 each. Which point represents a reasonable number of cards sold? Question 19 options: a) 10, 30) b) (18, 20) c) (20, 10) d) (15, 10) Question 20 (5 points)

Answer 1

th answer i think is thirty

Explanation:

30 + 10 = 40 and it said at most $50

tell me if i'm wrong

Answer 2

d) (15, 10)

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.