Last year, the number of students in Oscar's class was 20% less than the number of students in Haoxi's class. This year, the enrollment in Oscar's class dropped by 25% and the enrollment in Haoxi's class dropped by 10%. Oscar now has 6 fewer students than Haoxi. How many students were in Haoxi's class last year?
Question
Answer:
Letx----------> students in Oscar's class last year
y----------> students in Haoxi's class last year
we know that
Last year
the number of students in Oscar's class was 20% less than the number of students in Haoxi's class.
so
x=0.80y-----> equation 1
this year
0.75x=0.90y-6------> equation 2
using a graph tool
see the attached figure
the solution is
x=16----> students in Oscar's class last year
y=20----> students in Haoxi's class last year
this year
students in Oscar's class this year------> 0.75*16----> 12 students
students in Haoxi's class this year------> 0.90*20----> 18 students
the answer is
students in Haoxi's class last year were 20
solved
general
11 months ago
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