The required amount Weiming has to pay is given by the limit of $150
more than the amount Joyce has to pay.
Response:
- The greatest amount Weiming has to pay is<u> $180</u>
<h3>Which method can be used to analyze the amount paid by Weiming and Joyce?</h3>
Amount Weiming agrees to pay ≥ 2 × Joyce agrees to pay
Amount Weiming agrees to pay ≤ 150 + Amount Joyce agrees to pay
Let <em>x</em> represent the amount Weiming agrees to pay, and let <em>y</em> represent
the amount Joyce agrees to pay, we have;
x + y = 210
x ≥ 2·y
x ≤ y + 150
When the amount Weiming is $150 more than Joyce, which is the
limiting amount for Weiming, we have;
x = y + 150
Which gives;
y + 150 + y = 210
2·y = 210 - 150 = 60
y = 60 ÷ 2 = 30
x = 30 + 150 = 180
Therefore;
- The greatest amount Weiming has to pay is, x = <u> $180</u>
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