Juan sells 2 sizes of dried wreaths it takes him 3 hours to make each large and 2 hours to make each small one. he has material
for no more than 6 large wreaths or 9 small wreaths. he can work no more than 24 hours. what are 2 possible combinations of large and small wreaths
1 answer:
Answer: The answer is (2,9) and (6,3).
Step-by-step explanation: Given that Juan sells 2 sizes of dried wreaths. He takes 3 hours to make each large one and tales 2 hours to make each small one. Also, he has material for maximum 6 large wreaths or maximum 9 small wreaths.
Let, 'x' and 'y' be the number of number of large wreaths and number of small wreaths respectively made by Juan.
So, according to the given information, we have the following relations -
We tried plotting these inequalities in the graph paper (please see the attached figure), and found that the following two solutions will fit the situation perfectly.
Point A (x = 2, y = 9) and point B (x = 6, y = 3).
Thus, the two possible combinations are
(i) 2 large wreaths and 9 small wreaths, and
(ii) 6 large wreaths and 3 small wreaths.
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To find the percentage increase in her sales, we must first find the amount her sales increased. We can do that by subtracting the greeting cards sold in November from the number of greeting cards sold in December. Substituting values and simplifying, we get that she sold 200 more greeting cards in December.
To find what percent increase this is, we must find what percent 200 is of the number of greeting cards sold in November. We can do this by dividing 200 by the number of cards sold in November (300), and then multiplying by 100 (to make it a percent). Doing this, we get