Zahra spent $20.50 on 10 party favors for her party. The boys each received a puzzle book that cost $1.75 each. The girls each received a magic trick that cost $2.25 each. How many boys and how many girls attended the party? None of the other answers are correct 4 boys and 6 girls 5 boys and 5 girls 6 boys and 4 girls 7 boys and 3 girls

Question

Mathematics

Micaela Downs

18 August, 21:57

Zahra spent $20.50 on 10 party favors for her party. The boys each received a puzzle book that cost $1.75 each. The girls each received a magic trick that cost $2.25 each. How many boys and how many girls attended the party? None of the other answers are correct 4 boys and 6 girls 5 boys and 5 girls 6 boys and 4 girls 7 boys and 3 girls

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Answers (1)

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Kaliyah Adkins · Answer 1

X = # of boys, y = # of girls

x + y = 10 - - > y = 10-x

2.25y + 1.75x = 20.50

2.25 (10-x) + 1.75x = 20.5

22.5 - 2.25x + 1.75x = 20.5

-0.5x = 20.5-22.5

-0.5x = - 2.0

: -.5 : -.5

x = 4 - - > 4 boys, so 10-4 = 6 girls