Answer:
a. 
and 
Step-by-step explanation:
Let x be the larger number and y be the smaller number.
We have been given that one number is 4 more than another. We can represent this information in an equation as:
We can manipulate this equation as:
We are also told that the sum of both numbers is 60. We can represent this information in an equation as:
Upon looking at our given choices, we can see that option 'a' is the correct choice.
Based on the given situation, if x is number of kilograms of lobster, you can write the following expressions:
51 + 5x cost in the first restaurant
33 + 8x cost in the second restaurant
In order to determine the value of x which makes the cost the same in both restaurants, equal the previous expressions and solve for x:
51 + 5x = 33 + 8x subtract 33 both sides and 5x subtract both sides
51 - 33 = 8x - 5x simplify
18 = 3x divide by 3 both sides
18/3 = x
6 = x
x = 6
Hence, the weight of the lobster is 6 kg.
The cost of the dinner is:
51 + 5(6) = 51 + 30 = 81
Hence, the cost of the dinner is $81
Answer:
The choice two;
Step-by-step explanation:
13 is prime, so 13/75 can't be reduced. You could, however,
write
13/75 = 0.17333... This is a repeating decimal.
Andrew is 33 years old. One third of 33 is 11:
33 × 1/3
= 33/3
= 11
Now, the distance in years between 11 and 33 can be calculated accordingly:
33 - 11 = 22
Therefore, 22 years ago Betty was 1/3 of Andrew's age. Which means Betty hadn't been born yet.
