The Family Fine Arts Center charges 24 per adult and 15 per

The Family Fine Arts Center charges $24 per adult and $15 per senior citizen for its performances. On a recent weekend evening when 530 people paid admission, the total receipts were $9390. How many who paid were senior citizens? 370 senior citizens 250 senior citizens 160 senior citizens 280 senior citizens The sum of two numbers is 46 and their difference is 12. Find the numbers. 19 and 31 27 and 19 29 and 17 35 and 11 The two largest oil spills together released 290 million gallons of oil into the oceans. The smaller of the two released 86 million gallons less than the larger of the two. How many million gallons did the larger one release? 204 million gal 102 million gal 137 million gal 188 million gal The perimeter of a rectangle is 48 cm. The length is 12 cm longer than the width What are the length and width of the rectangle? length: 24 cm; width; 12 cm Length: 12 cm; width 6 cm Length: 18 cm. width 6 cm Length 23 cm; width 11 cm A cruise boat travels 48 miles downstream in 4 hours and returns to its starting point upstream in 6 hours. Find the speed of the stream 12 mph 10 mph 22 mph 2 mph

Solution

20 ) Let no. of adults be x . Let no. of senior citizens be y

24x +15y = 9390 -----(1)

x + y = 530 -----(2)

solve both the equations:

Multiply second equation by -24.

After multiplying we have the following system:   24x +15y = 9390

-24x -24y = -12720

x = 160 adults ; y = 370 senior citizens

Option A

21) Let the two numbers be x and y

x+y = 46 ----(1)

x - y = 12 ----(2)

----------- (add the two numbers)

2x = 58

x = 29 ; y = 17

Option C