Write a word problem or context that models the following equations. Try to make your real-life.
1 answer:
Answer:
First question :
The number of boys in a school is 6 more than 1/2 times of number of girls, if the number of boys is 81 then how many girls are there ?
Solution : Let x be the number of girls,
As per the above statement,
Second question :
Two pipes filled two tanks of same size, if the difference in time taken by both pipes is 26 minute, if one takes 5 more than 2 times of the time taken by other, what is the time taken by smaller pipe,
Solution : If t be the time taken ( in minutes ) by smaller pipe,
So, the time taken by larger pipe = 2t + 5
As per the above statement,
Third question :
The length of a pole is 4 times of the other pole if the sum of 2 times of small pole and 3 times of larger pole is equal to 990.50 inches what is the length of smaller pole,
Solution : If L be the length of smaller pole,
So, the length of larger pole = 4L,
As per the above statement,
2(L) + 3(4L) = 990.50
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Answer:
Gina is 12 years old
Step-by-step explanation:
First, we will have to write these statements mathematically and then solve.
Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.
The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)
The next statement "Gina's brother is half Gina's age" can be mathematically written as y = ---------------------------------------(2)
Then the next statement "the sum of their ages is 42" can be mathematically written as: x + y + z = 42 ----------------------------(3)
We can now proceed to solve;
Substitute equation (1) and equation(2) into equation (3)
x + y + z = 42
x + + 2x = 42
Multiply through by 2
2x + x + 4x = 84
7x = 84
Divide both-side of the equation by 7
=
x = 12
Therefore, Gina is 12 years old