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alexdonnelly2123
02.07.2019 •
Mathematics
There were 45 runners to start a race. in the first half of the race, 1/3 of them dropped out. in the second half of the race, 2/5 of the remaining runners dropped out. how many runners finished the race?
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Ответ:
18
Step-by-step explanation:
Given: There were
runners to start a race. In the first half of the race,
of them dropped out. In the second half of the race,
of the remaining runners dropped out.
To Find: How many runners finished the race.
Solution:
Total number of runners![=45](/tpl/images/0043/6224/65cdd.png)
Number of runners dropped out in first half of the race![=\frac{1}{3}\text{of total}](/tpl/images/0043/6224/c26e0.png)
Number of runners remaining after first half![=\text{Total runners before first half}-\text{number of runners dropped out}](/tpl/images/0043/6224/051bb.png)
Number of runners dropped out in second half![=\frac{2}{5}\text{of remaining after first half}](/tpl/images/0043/6224/32f54.png)
Number of runners who finished the race![=\text{runners remaining after first half}-\text{runners dropped in second half}](/tpl/images/0043/6224/44237.png)
Therefore
runners finished the race.
Ответ:
14 km
Step-by-step explanation:
6 km in the afternoon
x km in the morning
6= x- 25%
6= 0.75x
x= 6/0.75
x= 8 km
total 6+8= 14 km