Answer:
3 is the correct answer (see explanations for each possible choice)
Step-by-step explanation:
1 cannot be right because 3 times smaller than 9 would be 3 as 1/3*9=3
2 cannot be right because 3 less than 9 is 9-3=6
3 is right because 3 times as much as 9 is 9*3=27
4 cannot be right because 3 more than 9 is 3+9=12
X=numerator
y=denominator
the sum of numerator and denominator=x+y
we suggest this system of equations:
y=x-3
(x+5) / (y+5)=5/6
we solve this system of equation by substitution method.
(x+5) / (x-3+5)=5/6
(x+5) / (x+2)=5/6
6(x+5)=5(x+2)
6x+30=5x+10
6x-5x=10-30
x=-20
y=x-3=-20-3=-23
Teh sum of the numerator an denominator=-20+(-23)=-43
Answer: -43
He can make 3 batches of soup.
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
