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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 $4 \mathrm{~m}^{2}$ space with $12$ candles. Citlali lights a $10 \mathrm{~m}^{2}$ 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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Quantities that combine to zero: word problems

Full solution

Q. Nayeli lights a

4 \mathrm{~m}^{2}

space with

12

candles. Citlali lights a

10 \mathrm{~m}^{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.

Calculate Nayeli's brightness: To determine which 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 square meter. $\newline$ First, calculate the brightness per square meter for Nayeli's space. $\newline$ Brightness for Nayeli = Number of candles / Area = $\frac{12 \text{ candles}}{4m^2} = 3 \text{ candles/m}^2$ .
Calculate Citlali's brightness: Now, calculate the brightness per square meter for Citlali's space. $\newline$ Brightness for Citlali = Number of candles / Area = $\frac{30 \text{ candles}}{10m^2}$ = $3 \text{ candles/m}^2$ .
Compare brightness of Nayeli and Citlali: Compare the brightness per square meter for both Nayeli and Citlali. $\newline$ Since both have a brightness of $3 \text{ candles/m}^2$ , the spaces are equally bright.

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