SOS: Toward the middle of the harvesting season, peaches for canning come in thr
ID: 3333374 • Letter: S
Question
SOS:
Toward the middle of the harvesting season, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the data to the right were recorded at a fruit delivery station. Complete parts (a) through (d) below.
34 trucks went out carrying early peaches;
65 carried late peaches;
65 carried extra late peaches;
22 carried early and late;
34 carried late and extra late;
13 carried early and extra late;
6 carried all 3
8 carried only figs (no peaches at all)
a) how many trucks carried only late peaches? B) how many carried only extra late? c) how many carried only one type of peach? d) how many went out total?
Toward the middle of the harvesting season, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the data to the right were recorded at a fruit delivery station. Complete parts (a) through (d) below.
34 trucks went out carrying early peaches;
65 carried late peaches;
65 carried extra late peaches;
22 carried early and late;
34 carried late and extra late;
13 carried early and extra late;
6 carried all 3
8 carried only figs (no peaches at all)
a) how many trucks carried only late peaches? B) how many carried only extra late? c) how many carried only one type of peach? d) how many went out total?
Explanation / Answer
A) number of trucks carried only late peaches = number of trucks carried late peaches - number of trucks carried early and late - number of trucks carried late and extra late + number of trucks carried all
= 65 - 22 - 34 + 6
= 15
B) similarly, number of trucks carried only extra late = 65 - 34 - 13 + 6 = 24
C) number of trucks carried only early peaches = 34 - 22 - 13 + 6 = 5
Number of trucks carried only one type of peaches = 15 + 24 + 5 = 44
D) number of trucks went out = 34 + 65 + 65 - 22 - 34 - 13 + 6 + 8
= 109
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