Math, asked by anuradhasurolia3718, 8 months ago

A moocake with two egg yolks costs $2 more than a mooncake with one egg yolk, the cost of 6 mooncakes be with two egg yolks and 5 mooncakes with one egg yolk is $ 130.8, Finn's the costs of a mooncakes with two egg yolks

Answers

Answered by bhagyashreechowdhury

Step-by-step explanation:

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

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

x = 2 + y

⇒ x – y = 2 ……. (i)

Also given, the cost of 6 moon cakes with two egg yolks and 5 moon cakes 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

∴ 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 moon cake with two egg yolks is $12.8.

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