Answer:
17
Step-by-step explanation:
Answer:
is your looking for the answer its 10608
Step-by-step explanation:
Answer:
theres no image u need an imgae
Step-by-step explanation:
The team has played 24 home games.
Let h be the number of home games and a be the number of away games. The total number of games is 49; this gives us
h+a=49
They won 2/3 of the home games and 2/5 of the away games; there were 26 games won. This gives us
2/3h + 2/5a = 26
In the first equation we isolate h by subtracting a from both sides:
h+a-a=49-a
h=49-a
Substitute this into the second equation:
2/3(49-a)+2/5a = 26
Using the distributive property, we have
2/3*49 - 2/3*a + 2/5a = 26
98/3 - 2/3a + 2/5a = 26
Finding a common denominator to combine like terms, we have
98/3 - 10/15a + 6/15a = 26
98/3 - 4/15a = 26
We want to convert the whole number to thirds as well; 26 = 26*3/3 = 78/3:
98/3 - 4/15a = 78/3
Subtracting 98/3 from both sides:
98/3 - 4/15a - 98/3 = 78/3 - 98/3
-4/15a = -20/3
Divide both sides by -4/15:
a = -20/3 ÷ -4/15
a = -20/3 × - 15/4 = 300/12 = 25
There were 25 away games.
This means there were 49-25 = 24 home games.
