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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?
Choose 1 answer:
(A) 
16.7%
(B) 
33.3%
(c) 
66.7%
(D) 
83.3%

In a community service class in the fall, 33 of the 1515 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 1818 . In the spring, what percent of class sessions were lectures?\newlineChoose 11 answer:\newline(A) 16.7% 16.7 \% \newline(B) 33.3% 33.3 \% \newline(C) 66.7% 66.7 \% \newline(D) 83.3% 83.3 \%

Full solution

Q. In a community service class in the fall, 33 of the 1515 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 1818 . In the spring, what percent of class sessions were lectures?\newlineChoose 11 answer:\newline(A) 16.7% 16.7 \% \newline(B) 33.3% 33.3 \% \newline(C) 66.7% 66.7 \% \newline(D) 83.3% 83.3 \%
  1. Determine fall lecture sessions: Determine the number of lecture sessions in the fall.\newlineSince 33 of the 1515 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 33 lecture sessions in the spring.
  2. Calculate total spring sessions: Determine the total number of sessions in the spring.\newlineThe total number of sessions in the spring increased to 1818.
  3. Calculate percentage of spring lecture sessions: Calculate the percentage of lecture sessions in the spring.\newlineUse the percentage formula: (Number of lecture sessions/Total number of sessions)×100(\text{Number of lecture sessions} / \text{Total number of sessions}) \times 100.
  4. Substitute values into formula: Substitute the known values into the formula. (318)×100(\frac{3}{18}) \times 100
  5. Simplify fraction and calculate percentage: Simplify the fraction and calculate the percentage.318\frac{3}{18} equals 0.16660.1666 (repeating).
  6. Multiply by 100100 to find percentage: Multiply by 100100 to find the percentage.0.1666×100=16.66%0.1666\ldots \times 100 = 16.66\ldots\%, which rounds to 16.7%16.7\%.