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Sean plans to sell hotdogs for P10 and hard boiled-eggs for P7.if he sells 22 hotdogs,what is the maximum number of hard boiled-eggs he should sell to have total sales of at least P300?
A.11
B.12
C.13
D.14​

Sagot :

[tex]\large\rm{Answer:}[/tex]

  • B. 12

[tex]\large\rm{Solution:}[/tex]

Given:

hotdog price - P10

hard - boiled egg price - P7

Sold - 22 hotdogs

Total sales must be at least P300

Hard - boiled eggs needs - ?

[tex]{}[/tex]

Let x be the number of boiled eggs Sean need to sell.

Then, by condition

22 × 10 + 7 × x ≥ 300

7x ≥ 300 - 220

7x ≥ 80

x ≥ [tex]\large\mathsf{ \frac{80}{7}}[/tex].

So, [tex]\large\mathsf{ \frac{80}{7}}[/tex] ≈ 11.43 what means if Sean sells 11 eggs which is less than 11.43), he won't have his sales. If he sells 12 eggs (which is greater than 11.43), then he will have total sales at least P300. So, he should sell 12 eggs to have a total sales at least P300