The art museum had a total of 224 visitors on Tuesday. Visitors older than 18 paid $12 for admission. Visitors 18 years or younger paid $8 for admission. The museum collected a total of $2,520. How many visitors were 18 or younger?

Answers

Answer 1

Answer: Given:
total of 224 visitors
older than 18 paid $12
18 and below paid $8
total collection 2,520

Let l be visitors older than 18 and m be visitors 18 and below.

l + m = 224
12l + 8m = 2,520

l = 224 - m
12(224 - m) + 8m = 2520
2688 - 12m + 8m = 2520
-4m = 2520 - 2688
-4m = -168
m = -168/-4
m = 42 number of visitors 18 and below.

l = 224 - m
l = 224 - 42
l = 182 number of visitors older than 18.

12(182) + 8(42) = 2520
2184 + 336 = 2520
2520 = 2520

Answer 2

Answer:

"42". I just took the test.

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Answers

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Answers

18 7/8 is the answer when you add them

Answer:

18 7/8 is the answer when you add them

Step-by-step explanation:

a vending machine sells chips at $0.40 and candy at $0.50. Last month, the vending machine yielded $152.80 with a sale of 328 items. how many packages of chips were purchased last month

Answers

112 bags of chips

The solution to the system of equations gives 112 chips and 216 candy.
The equations to solve are

x + y = 328
.40x + .50 y = 152.80

(x = the number of chips and y = the number of candy)

x = 40 cents bags, y = 50 cent bags

x + y = 328...x = 328 - y
0.40x + 0.50y = 152.80

0.40(328 - y) + 0.50y = 152.80
131.20 - 0.40y + 0.50y = 152.80
-0.40y + 0.50y = 152.80 - 131.20
0.10y = 21.60
y = 21.60/0.10
y = 216 <=== total 50 cents bags sold

x + y = 328
x + 216 = 328
x = 328 - 216
x = 112 <=== total 40 cents bags sold

Find the area of the triangle