Math, asked by syedarifali013, 10 months ago

a mooncake with two egg yolks costs $2 more than a mooncake with one egg yolk, the cost of six mooncake with two eggs yolk and 5 mooncake with one egg folk is $130.80. Find the cost of a mooncake with two eggs folk

Answers

Answered by bhagyashreechowdhury
11

The cost of one mooncake with two egg yolks is $ 12.80.

Step-by-step explanation:

Let the cost of the mooncake with two egg yokes be $ “x” and that of the mooncake with 1 egg yolk be $ “y”.  

It is given that the mooncake with two egg yolks costs $2 more than the mooncake with one egg yolk, therefore the eq. is,

x = 2 + y

x – y = 2 ……. (i)

Also given, the cost of 6 mooncakes with two egg yolks and 5 mooncakes with one egg yolk is $ 130.8, therefore the eq. is,

6x + 5y = 130.8 ……. (ii)

Now,

Multiplying by 6 throughout the eq. (i) and then subtracting from eq. (ii), we get

6x + 5y = 130.8

6x – 6y = 12

-    +         -

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   11y = 118.8

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y = 118.8/11 = 10.8

Substituting y = 10.8 in eq. (i), we get

x – y = 2

x = 2 + 10.8 = $12.8

Thus, the cost of a mooncake with two egg yolks is $12.8.

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Answered by Pohleen
0

The cost of one mooncake with two egg yolk is $12.80

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