Before returning from their trip to new york city, Arielle purchases souvenirs for her friend. She can purchase 4

Question

Before returning from their trip to new york city, Arielle to purchases souvenirs for her friend. She can purchase 4 statues of liberty keychains and 3 t-shirts for a total of fifty-five dollars and ninety-two cents. if she purchases 2 keychains and 5 t-shits it will cost $57.93 how much do the keychains cost? how much do the t-shirts cost?

Answer 1

4C +3S = 5592

2C +5S = 5793

multiply 2nd equation by 2 then subtract 1st equation to eliminate one variable

4C+10S =11586

4C+3S = 5592

7S = 5994 divide by 7

S= 5994/7 = $8.56 for a Shirt rounded off to nearest cent

C = [5793-5(5994/7)]/2 = 1512/2 =$7.57 for a keyChain

check the answers

2(757)+5(856) = 1514+4280=5794

4(757)+3(856) = 3028+2568= 5596

very close, but

rounding errors or arithmetic mistake(s) somewhere

you get 2 points extra credit, if you find them

buy them both before prices go up