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I need your help.If it takes 50 eggs to bake 90 cakes using a large commercial bakery's recipe.using the same recipe,how many eggs will be needed to bake 400 cakes? a. 175 b.200 c. 222 d. 720
Hi Stan,
This problem is solved using a technique called cross-multiplication. We translate the statements into a mathematical expression of equal proportions.
The ratio doesn't change....since "50 eggs make 90 cakes", we maintain that "X eggs make 400 cakes". The question is, what is X? X represents the number of eggs needed to bake 400 cakes.
We have 50/90 = X/400.
Multiplying both sides of the equation by 400 gives 400*(50/90)=X. Thus, X=(400*5)/9 =2000/9.
This works out as 222.222. Rounding the answer to the nearest integer, "c" is the correct answer.
Cheers:)
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Josh
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When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.
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