Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A carrier bag can hold at most . A packet of rice weighs and a packet of flour weighs . If packets of rice and packets of flour are packed, the rule is . Find where the boundary line cuts the two axes. Then find the weight of packets of rice and packets of flour, and say whether that load is allowed.
For , draw the boundary line from its intercepts. Test a point that is not on the line, such as the origin. Shade the side of the test point if the test is true, and the other side if it is false. Use a solid line for and , and a dashed line for and .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The intercepts. Put : , so . Put : , so . The line joins and .
Step 2. The load. .
Step 3. Is it allowed? is less than , so the point lies in the region and the load is allowed.
Answer: the intercepts are and , and the load weighs .
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