Answer:
1. Twice a number increased by 12 is 28. Find the number.
2x + 12 = 28
2x = 28 - 12
2x = 16
2x /2 = 16/2
x = 8
Answer : 8
CHECK:
2x + 12 = 28
2 ( 8) + 12 = 28
16 + 12 = 28
28 = 28
2. The sum of two consecutive numbers is 91. Find the numbers
x + y = 91
45 + 46 = 91
Answer: 45 and 46
3. Tina bought a basket of 28 fruits to the home for the aged. The basket had pineapples and
oranges. The oranges were 6 times more than the pineapples. How many of each kind of fruit
did she bring?
Let p = number of pineapples
Let 6p = number of oranges
6p + p = 28
7p = 28
7p / 7 = 28 / 7
P = 4 : hence there are 4 pineapples
6p
6 (4) = 24 : hence there are 24 oranges
Answers : there are 4 pineapples and 24 oranges
CHECK:
6p + p = 28
6 ( 4) + 4 = 28
24 + 4 = 28
28 = 28
4..Marla weighs half as much as her father, who weighs 85 kg. How much does Marla weigh?
Let x = Maria's weight
x = 1/2 x 85
x = 42.5
Answer : Maria is 42.5 kg
5. Meena is babysitting her friend's daughter, Noella, who is two years younger than her
brother, Josef The total age of Noella and Josef is 10 years old. How old is Noella? How old
is Josef?
Let j = Josef's age
Let j-2 = Noella's age
j + (j-2) = 10
j + j - 2 =10
2j - 2 =10
2j = 10 +2
2j = 12
2j / 2 = 12 / 2
j = 6 : hence Josef is 6 yrs old
j-2
6 - 2 = 4 : hence Noella is 4 yrs old
Answer: Josef is 6 yrs old while Noella is 4 yrs old
CHECK :
j + (j-2) = 10
6 + (6-2) = 10
6 + 4 = 10
10 = 10
Hope this helps :)
