College

We appreciate your visit to A bakery produces tex frac 5 x tex cakes per hour in the morning and tex frac 3 x tex cakes per hour in the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A bakery produces [tex]\frac{5}{x}[/tex] cakes per hour in the morning and [tex]\frac{3}{x}[/tex] cakes per hour in the afternoon. If [tex]x=4[/tex], how many cakes does the bakery produce in total during the day?

A. [tex]\frac{8}{x}[/tex] cakes
B. [tex]\frac{8}{4}[/tex] cakes
C. 8 cakes
D. [tex]\frac{5+3}{x}[/tex] cakes

Answer :

We begin with the bakery’s production rates. The bakery produces

[tex]$$
\frac{5}{x} \text{ cakes per hour in the morning}
$$[/tex]

and

[tex]$$
\frac{3}{x} \text{ cakes per hour in the afternoon.}
$$[/tex]

Since we are given that [tex]$x=4$[/tex], we substitute [tex]$4$[/tex] into each rate:

1. Morning production per hour:

[tex]$$
\frac{5}{4} = 1.25 \text{ cakes per hour.}
$$[/tex]

2. Afternoon production per hour:

[tex]$$
\frac{3}{4} = 0.75 \text{ cakes per hour.}
$$[/tex]

Next, we add these two amounts to find the total production per hour for the day:

[tex]$$
1.25 + 0.75 = 2 \text{ cakes per hour.}
$$[/tex]

Notice that this total production can also be written by combining the fractions:

[tex]$$
\frac{5}{4} + \frac{3}{4} = \frac{5 + 3}{4} = \frac{8}{4}.
$$[/tex]

The expression [tex]$\frac{8}{4}$[/tex] simplifies to [tex]$2$[/tex]. Among the given answer choices, the equivalent expression is choice B, which is [tex]$\frac{8}{4}$[/tex].

Thus, the correct answer is:

b. B

Thanks for taking the time to read A bakery produces tex frac 5 x tex cakes per hour in the morning and tex frac 3 x tex cakes per hour in the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada