A parent rewards a child with 50 cents for each correctly solved mathematics problem and fines the child 30 cents for each incorrectly solved problem. if the child nets $22.00 after 100 problems. how many problems were solved correctly?

Question

Riley Reilly

Mathematics

21 December, 16:10

A parent rewards a child with 50 cents for each correctly solved mathematics problem and fines the child 30 cents for each incorrectly solved problem. if the child nets $22.00 after 100 problems. how many problems were solved correctly?

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Answers (1)

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Ernie · Answer 1

x = correct answer

y = incorrect answer

0.50x-0.30 (100-x) = 22.00

0.50x-30.00+0.30x=22.00

0.80x=22.00+30.00

0.80x=52.00

x=52.00/0.80

x = 65

y=100-65 = 35

0.5x65 = 32.50

35*0.30=10.5

32.5-10.5 = 22

there were 65 correct answers