the sharks are fed three times a day during the morning feeding 2/15 of a ton of fish is fed during the afternoon feeding the weight of fish fed will be 1/15 of a ton more than the fish fed during the morning if the total weight of fish fed in a day is 1/2 of a ton how much is fed during the night
Answers
Answer. In the morning, weight of the fish fed Wm = 2/15 tons. In the afternoon, 1/15 ton more fish fed during morning.
Answer:
1/6 ton of fish is fed during the feeding at night.
Step-by-step explanation:
The fish fed in the morning is \dfrac{2}{15}
15
2
tons, and during after noon the fish fed is \dfrac{1}{15}
15
1
more than in the morning; or
\dfrac{2}{15} +\dfrac{1}{15}
15
2
+
15
1
and let us call the tons of fish fed at night xx , then if the total tons of wish fed during the is \dfrac{1}{2}
2
1
, we have
\dfrac{2}{15}+(\dfrac{2}{15} +\dfrac{1}{15})+x=\dfrac{1}{2}
15
2
+(
15
2
+
15
1
)+x=
2
1
Let us add the numerators on the left side and we get:
\dfrac{5}{15} +x=\dfrac{1}{2}
15
5
+x=
2
1
and subtract \dfrac{5}{15}
15
5
from both side to isolate x:x:
x=\dfrac{1}{2} -\dfrac{5}{15}x=
2
1
−
15
5
and since \dfrac{5}{15} =\dfrac{1}{3}
15
5
=
3
1
, we have
x=\dfrac{1}{2}-\dfrac{1}{3}x=
2
1
−
3
1
the common denominator of the fractions is 6; therefore, we rewrite the equation as
x=\dfrac{3}{6}-\dfrac{2}{6}x=
6
3
−
6
2
and subtract the numerators to get:
\boxed{x=\dfrac{1}{6} }
x=
6
1
which the number of tons fed during the feeding at night.
Step-by-step explanation:
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