Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 30
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34Number and Algebra
Number and Algebra
8.
A farmer plans to sell a certain number of eggs for $180. However, 20 eggs are broken. The
farmer wants to earn the same amount of money when he sells all the eggs, so he increases the
price of each egg by $0.1. Find the original number of eggs.
Solution
Let x be the original number of eggs.
180
−
=
+
(
x
20
)
180
0 1
.
x
−
+
=
(
x
20 180
)(
0 1
.
x
)
180
x
−
−
=
2
0 1
.
x
2
x
3600
0
−
−
=
2
x
20
x
36 000
0
−
+
=
(
x
200
)(
x
180
)
0
x = 200 or x = −180 (rejected)
∴ The original number of eggs is 200.
9.
In the figure, ABCD is a rectangle of width 6 cm and length
( x + 2) cm
X
D
A
x cm
10 cm. X and Y are two points on AD and CD respectively
such that AX = (x + 2) cm and DY = x cm. If the area
Y
6 cm
2
of the shaded region is 22 cm
, find x.
Solution
B
C
10 cm
Q The area of the shaded region is 22 cm
2
.
+
−
+
−
6
(
x
2
)
x
[
10
(
x
2
)]
10 6
(
x
)
−
−
−
=
∴ 6 10
( )
22
2
2
2
−
+
=
2
x
4
x
48
44
−
+
=
2
x
4
x
4
0
−
=
2
(
x
2
)
0
=
x
2
30
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education