Question

Marcia has $20 to purchase food for a party. Each bag of candy costs $3 and each bottle of soda costs $2. If x is the number of bags of candy she will purchase and y is the number of bottles of soda, which of the following could be a possible solution to the inequality?


A. (3, 5)


B. (10, 1)


C. (1, 10)


D. (4, 10)

Answer 1

3x + 2y <= 20
now sub your answer choices into the inequality and see which one satisfies it.

lets try (3,5) x = 3 and y = 5
now sub
3(3) + 2(5) <= 20
9 + 10 <= 20
19 <= 20 --- correct...this one works

Now try (10,1)
3(10) + 2(1) <= 20
30 + 2 <= 20
32 <= 20 (incorrect...not this one)

Now try (1,10)
3(1) + 2(10) <= 20
3 + 20 <= 20
23 <= 20 (incorrect...not this one)

last one...(4,10)
3(4) + 2(10) <= 20
12 + 20 <= 20
32 <= 20 (incorrect...not this one)

There appears to be only 1 that will work and that is (3,5)
any questions ?