Question

their measures
A ratio can be used to write an equation. Then it is easier to solve the pro
xample : A hostel is to be built for schoolgoing girls. Two toilets are to be built for
15 girls. If 75 girls will be living in the hostel, how many toilets will be re
in this proportion?
Let us consider the proportion or ratio of toilets and girls. Let us sup
toilets will be needed for 75 girls. The ratio of the number of toilets
2.
number of girls is Let us write this in two ways and form an eq
15
2
75
15
x
--
2
х
x 75
X 75
(Multiplying both sides by
75
15
X
= 2 x 5
= 10
: 10 toilets will be required for 75 girls.
58​

Answer 1

|2x – 25| – 3 = 7. There are two solutions to this problem. What is the sum of those solutions?

Possible Answers:

10

7.5

17

25

Correct answer:

25

Explanation:

First, simplify the equation so the absolute value is all that remains on the left side of the equation:

|2x – 25| = 10

Now create two equalities, one for 10 and one for –10.

2x – 25 = 10 and 2x – 25 = –10

2x = 35 and 2x = 15

x = 17.5 and x = 7.5

The two solutions are 7.5 and 17.5. 17.5 + 7.5 = 25