Math 1350
posted by Ne Ne
Mrs. Smith's classroom can hold at the most 30 students. Her first period class had 4 boys for every 3 girls. When 3 boys and 1 girl were added to the class, the new ratio became 3 boys to 2 girls. How many total students are now in the class? Show all work and explain the process.

Reiny
original class:
number of boys = 4x
number of girls = 3x
new class:
boys  4x+3
girls  3x + 1
(4x+3)/(3x+1) = 3/2
9x + 3 = 8x + 6
x = 3
original class
boys = 12
girls = 9 , notice ratio = 12:9 = 4:3
new class
boys = 15
girls = 10 , new ratio = 15:10 = 3:2
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