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Many employees were affected by closure of businesses brought about
by COVID-19 pandemic. One of them is Aling Myrna who used to be a
saleslady in a mall. The income of her husband is not enough to sustain the
needs of their family. Thus, she decided to sell turon and lumpia to their
neighborhood. Each turon costs P8 and each lumpia costs P5.
Help Aling Myrna to visualize how many pieces of turon and lumpia
must she sell to earn at least P1,500 a day. Write and graph of an inequality
that represents the number of pieces of turon and lumpia she needs to sell to
earn at least P1,500. Write your solution on separate sheet/s of paper.
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Answer:
Let: x = number of turon / y = number of lumpia
- The total of she sells is 8x + 5y
- We are looking for a total earning of at least ₱1,500. So, it means that the total entrance fee must be greater than or equal to ₱1,500. Thus, we write the inequality 8x + 5y ≥ 1,500
Graph
Graph the inequality 8x + 5y ≥ 1,500 using x- and y- intercepts.
1. To solve for x-intercept, set y = 0.
8x + 5y = 1500
8x + 5(0) = 1500
8x + 0 = 1500
8x = 1500
x = 187.5
2. To solve for y-intercept, set x = 0.
8x + 5y = 1500
8(0) + 5y = 1500
0 + 5y = 1500
5y = 1500
y = 300
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