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BECE Mathematics 2019 Paper
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© africaexams.com
Question : 34
Total: 40
In a class of 23 students, the girls were 7 more than the boys. How many boys were in the class?
8
15
16
30
Validate
Solution:
Let
x
=
x=
x
=
number of boys in the class
The girls were 7 more than the boys
⇒
\Rightarrow
⇒
Girls
=
=
=
Boys
+
7
=
x
+
7
+7=x+7
+
7
=
x
+
7
Class of 23 students
=
=
=
Number of boys + Number of girls
⇒
x
+
(
x
+
7
)
=
23
\; \Rightarrow x+(x+7)=23
⇒
x
+
(
x
+
7
)
=
23
x
+
x
+
7
=
23
\; x+x+7=23
x
+
x
+
7
=
23
2
x
=
23
−
7
\; 2 x=23-7
2
x
=
23
−
7
2
x
=
16
\; 2 x=16
2
x
=
16
Divide both sides by 2
2
x
2
=
16
2
\; \frac{2x}{2}=\frac{16}{2}
2
2
x
=
2
16
x
=
8
\; x=8
x
=
8
⇒
\Rightarrow
⇒
there were 8 boys in the class
© africaexams.com
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