Math 312 Worksheet - University Of British Columbia -2016 Page 7
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8Math 312, Midterm
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PROBLEM 6 (20 points)
An old receipt has faded. It reads “88 chickens cost a total of $x4.2y”,
where x and y are unreadable digits. How much did the 88 chickens
cost?
Answer: We know that the 88 chicken costed x42y cents, where
0
x, y
9. We have 88 = 11 8 then 8 x42y and 11 x42y.
From 8 x42y we have that 42y is divisible by 8, thus y = 4. From
11 x424 we have that 4
2 + 4
x = 6
x is divisible by 11 hence
x = 6. We conclude that the 88 chicken costed $64.24.
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