Answer:
(a) x + 3(x + 4) = 5(x + 2) - 5
(b) youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Step-by-step explanation:
(a)
We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.
Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:
x + 3 * (x + 4) = 5 * (x + 2) - 5
x + 3(x + 4) = 5(x + 2) - 5
(b)
Now, we can just solve the equation above:
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
x = 12 - 5 = 7
So, the youngest sister is 7 years old.
That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.
The ages, then, are:
youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Answer:
D. 7/8 pound
Step-by-step explanation:
1/2+1/4+1/8=7/8
7/8 pound of dried fruit will be put into the cookies in all.
Answer:
30 pages
Step-by-step explanation:
Because if he reads 10 pages in 1/3 of a hour 1/3 of an hour is 20 mins so x2 means 30 pages
