HELP! WILL MARK BRAINLIEST ANSWER

Larry and Barry each have a bug collection.

• The number of bugs in Larry’s collection can be represented by x.
• The number of bugs in Barry’s collection is 1
2
3
times the number in Larry’s collection.
• The total number of bugs in both collections is 136.

What is x, the number of bugs in Larry's collection?
A) 34
B) 36
C) 51
D) 85

Respuesta :

oops meant to put it here lol so the answer is 51

Answer:

C) 51

Step-by-step explanation:

Here, x represents the number of bugs Larry has,

∵  The number of bugs in Barry’s collection is [tex]1\frac{2}{3}[/tex] times the number in Larry’s collection.

So, the number of bugs Barry has = [tex]1\frac{2}{3}\times x[/tex]

[tex]=\frac{5x}{3}[/tex]

Thus, the total number of bugs =  [tex]x+\frac{5x}{3}[/tex]

[tex]=\frac{8x}{3}[/tex]

According to the question,

Total number of bus = 136

[tex]\frac{8x}{3}=136[/tex]

[tex]8x = 408[/tex]

[tex]\implies x = 51[/tex]

Hence, the number of bugs in Larry's collection is 51.

Option 'C' is correct.

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