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answer:number of cupcakes sold is 13 Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Victor sold. Let y represent the number of cookies that Jane sold. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13
An equation is formed when two equal expressions. The number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of cupcakes sold be represented by x, while the number of cookies sold is represented by y.
Now, the total number of cupcakes and cookies sold combined is equal to 68. Therefore, the equation can be written as
x + y = 68
x = 68 - y
Also, Each cupcake sold for $2.25 and each cookie sold for $0.50. And the total sale that Victor made is of $95.25. Therefore, the equation can be written as,
2.25x + 0.50y = 95.25
2.25(68 - y) + 0.5y = 95.25
153 - 2.25y + 0.5y = 95.25
-2.25y + 0.5y = 95.25 - 153
1.75y = 57.75
y = 33
Now, substitute the value of x in the first equation.
x + y = 68
x + 33 = 68
x = 35
Hence, the number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.
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