Answer: x≈ 2,900
Step-by-step explanation:
To solve this problem using cross multiplication, we can set up a proportion based on the ratio of defective boards to the total number of boards produced:
248
12
,
400
=
�
145
,
000
12,400
248
=
145,000
x
Now, we can cross multiply:
248
×
145
,
000
=
12
,
400
×
�
248×145,000=12,400×x
35
,
960
,
000
=
12
,
400
�
35,960,000=12,400x
To solve for
�
x, we divide both sides by 12,400:
�
=
35
,
960
,
000
12
,
400
x=
12,400
35,960,000
�
≈
2
,
900
x≈2,900
So, if the company makes 145,000 boards, approximately 2,900 of them will be defective.