Commuters 2428

A total of 750 pupils attend the school. 20% of students are commuters. 18% of pupils commute in the first grade and 23% in the second grade. How many first graders does the school have?

Correct answer:

x =  450

Step-by-step explanation:


x+y= 750
0.18 x+ 0.23 y = 0.20 ·750

x+y= 750
0.18·x+ 0.23·y = 0.20 ·750

x+y = 750
0.18x+0.23y = 150

Row 2 - 0.18000000000001 · Row 1 → Row 2
x+y = 750
0.05y = 15


y = 15/0.05 = 300
x = 750-y = 750-300 = 450

x = 450
y = 300

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