In a community service class in the fall, $3$ of the $15$ class sessions were lectures, while all others were devoted to fieldwork in parks. In the spring, the number of sessions devoted to fieldwork remained the same, but the total number of sessions increased to $18$ . In the spring, what percent of class sessions were lectures? $\newline$ Choose $1$ answer: $\newline$ (A) $16.7 \%$ $\newline$ (B) $33.3 \%$ $\newline$ (C) $66.7 \%$ $\newline$ (D) $83.3 \%$

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Grade 8

Find what percent one number is of another: word problems

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Q. In a community service class in the fall,

3

of the

15

class sessions were lectures, while all others were devoted to fieldwork in parks. In the spring, the number of sessions devoted to fieldwork remained the same, but the total number of sessions increased to

18

. In the spring, what percent of class sessions were lectures?

\newline

Choose

1

answer:

\newline

(A)

16.7 \%

\newline

(B)

33.3 \%

\newline

(C)

66.7 \%

\newline

(D)

83.3 \%

Determine fall lecture sessions: Determine the number of lecture sessions in the fall. $\newline$ Since $3$ of the $15$ class sessions were lectures in the fall, and the number of fieldwork sessions remained the same in the spring, we can conclude that there were also $3$ lecture sessions in the spring.
Calculate total spring sessions: Determine the total number of sessions in the spring. $\newline$ The total number of sessions in the spring increased to $18$ .
Calculate percentage of spring lecture sessions: Calculate the percentage of lecture sessions in the spring. $\newline$ Use the percentage formula: $(\text{Number of lecture sessions} / \text{Total number of sessions}) \times 100$ .
Substitute values into formula: Substitute the known values into the formula. $(\frac{3}{18}) \times 100$
Simplify fraction and calculate percentage: Simplify the fraction and calculate the percentage. $\frac{3}{18}$ equals $0.1666$ (repeating).
Multiply by $100$ to find percentage: Multiply by $100$ to find the percentage. $0.1666\ldots \times 100 = 16.66\ldots\%$ , which rounds to $16.7\%$ .