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
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
- + -
-----------------------
11y = 118.8
------------------------
∴ 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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The cost of one mooncake with two egg yolk is $12.80