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Question 15a

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On Monday, 50 more men than women visited a museum. On Tuesday, the number of women who visited the museum was 80% of the number of women who visited on Monday. The number of men who visited the museum on both days remained the same. There were 950 visitors on Tuesday. What was the total number of visitors on Monday and Tuesday? (3 marks)

Answer: 2000 visitors

Workings

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let women on monday be 100u

"On Tuesday, the number of women who visited the museum was 80% of the number of women who visited on Monday. "

tuesday women → 80% x 100u = 80u

100u + 80u + 50 = 950 180u = 950 - 50 = 900 1u → 900 ÷ 180 = 5

total monday → 200 x 5 + 50 = 1050

monday + tuesday → 1050 + 950 = 2000

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