Nayeli lights a 4m^(2) space with 12 candles. Citlali lights a 10m^(2) space with 30 of the same type of candles. Whose space is lit brighter? Choose 1 answer: (A) Nayeli's area (B) Citlali's area (C) The spaces are equally bright.

Calculate Nayeli's Brightness: To determine whose space is lit brighter, we need to calculate the brightness per square meter for both Nayeli and Citlali. Brightness can be assumed to be directly proportional to the number of candles per unit area. First, let's calculate the brightness per square meter for Nayeli's space. Brightness per square meter for Nayeli = Number of candles / Area = 12 candles / 4 m^2 = 3 candles/m^2Calculate Citlali's Brightness: Now, let's calculate the brightness per square meter for Citlali's space. Brightness per square meter for Citlali = Number of candles / Area = 30 candles / 10 m^2 = 3 candles/m^2Compare Brightness: Comparing the brightness per square meter for both Nayeli and Citlali, we find that they both have the same brightness of 3 candles per square meter. Therefore, the spaces are equally bright.

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Nayeli lights a
4m^(2) space with 12 candles. Citlali lights a
10m^(2) space with 30 of the same type of candles.
Whose space is lit brighter?
Choose 1 answer:
(A) Nayeli's area
(B) Citlali's area
(C) The spaces are equally bright.

Nayeli lights a $4m^{2}$ space with $12$ candles. Citlali lights a $10m^{2}$ space with $30$ of the same type of candles. $\newline$ Whose space is lit brighter? $\newline$ Choose $1$ answer: $\newline$ (A) Nayeli's area $\newline$ (B) Citlali's area $\newline$ (C) The spaces are equally bright.

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Full solution

Q. Nayeli lights a

4m^{2}

space with

12

candles. Citlali lights a

10m^{2}

space with

30

of the same type of candles.

\newline

Whose space is lit brighter?

\newline

Choose

1

answer:

\newline

(A) Nayeli's area

\newline

(B) Citlali's area

\newline

Calculate Nayeli's Brightness: To determine whose space is lit brighter, we need to calculate the brightness per square meter for both Nayeli and Citlali. Brightness can be assumed to be directly proportional to the number of candles per unit area. $\newline$ First, let's calculate the brightness per square meter for Nayeli's space. $\newline$ Brightness per square meter for Nayeli = Number of candles / Area $\newline$ = $12$ candles / $4 \, \text{m}^2$ $\newline$ = $3$ candles/ $\text{m}^2$
Calculate Citlali's Brightness: Now, let's calculate the brightness per square meter for Citlali's space. $\newline$ Brightness per square meter for Citlali = Number of candles / Area $\newline$ = $30$ candles / $10 \, \text{m}^2$ $\newline$ = $3$ candles/ $\text{m}^2$
Compare Brightness: Comparing the brightness per square meter for both Nayeli and Citlali, we find that they both have the same brightness of $3$ candles per square meter. $\newline$ Therefore, the spaces are equally bright.