Answer:
you can answer it like 15 to 3 or
15:3
Question (1):
Assume that the first number is n. Since the two number are consecutive even numbers, this means that the second number is n + 2
We know that the sum of the two numbers is 70. This means that:
n + n + 2 = 70
2n + 2 = 70
2n = 68
n = 68/2
n = 34
This means that the two numbers are: 34 and 34+2 = 36 .......> last option
Question (2):
Assume dog's age is x. We know that cat's age is 5 less than twice dog's age. This means that:
cat's age = 2x - 5
We know that cat's age is 11, therefore:
11 = 2x - 5
11 + 5 = 2x
16 = 2x
x = 16/2 = 8
Dog's age is 8 .......> first option
Question (3):
The three numbers are consecutive. This means that we can assume the numbers to be n, n+1 and n+2. We know that their sum is 46. Therefore:
n + n + 1 + n + 2 = 46
3n + 3 = 46
3n = 43
n = 43/3
The three numbers are 43/3 , 46/3 and 49/3 .......> none of the given options in correct
Question (4):
The three consecutive numbers are all even. This means that we can assume the numbers to be n , n+2 and n+4
We know that their sum is 198. This means that:
n+n+2+n+4 = 198 .........> second option
Question (5):
The four consecutive numbers can be assumed as n, n+1 , n+2 and n+3. We know that their sum is 86. Therefore:
n + n+1 + n+2 + n+3 = 86 .......> third option
Question (6):
Assume the width is w. We know that the length is 15 cm greater than the width. This means that:
length = w + 15
Now, we have:
perimeter = 2(length + width)
150 = 2 (15 + w + w)
75 = 15 + 2w
60 = 2w
w = 60/2
w = 30 cm
This means that:
length = 15 _ 30 = 45 cm
Based on the above, the dimensions of the rectangle are:
length = 45 cm and width = 30 cm .......> first option
Question (7):
Assume original price before taxes is x
Total price = original price + taxes
825 = x + 0.1x = 1.1 x
x = 825/1.1
x = $750 .........> second option
Question (8):
Assume cost of helmet is x and that cost of bicycle is 5x. We know that the total is 240. This means that:
240 = x + 5x = 6x
x = 240/6
x = 40
This means that:
price of helmet = $40
price of bicycle = 5(40) = $200
..........> first option
Hope this helps :)
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km