Can Someone answer this pleaseee Matthew has a jar of 368 nickels and dimes he has been collecting. The total value of the coins is $28.40.Which system of linear equations and solution can be used to represent the number of nickels and dimes Matthew has in his collection?

A. n + d = 368 0.05n + 0.1d=28.4 168 nickels and 200 dimes

B. n + d = 368 0.01n + 0.05d=28.4 200 nickels and 168 dimes

C. n + d = 368 0.05n + 0.1d=28.4 200 nickels and 168 dimes

D. n + d = 368 0.1n + 0.05d=28.4 168 nickels and 200 dimes

The system of linear equations and solution can be used to represent the number of nickels and dimes Matthew has in his collection is n + d = 368 0.05n + 0.1d=28.4  168 nickels and 200 dimes.

Given that,

Based on the above information, the calculation is as follows:

n + d = 368

So,

d = 368 - n

And,

0.05n + 0.10d = 28.40

0.05n + 0.10(368 - n) = 28.40

0.05n + 36.8 - 0.10n = 28.40

0.05n = 8.4

n = 168

So, d = 368 - 168

= 200

Therefore we can conclude that the correct option is A.

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Step-by-step explanation:

Given

Required

Determine the linear equations to represent the scenario

Represent nickel with n and dimes with d

So, the total is:

So, the value is:

Hence, the linear equations are:

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58