The ratio of yellow sweets to purple sweets is 5:4.
1 answer:
Answer:
27
Step-by-step explanation:
The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )
After Alice eats 3 purple sweets, then ratio is
5 : 3 = 5x : 4x - 3
Express the ratio in fractional form, that is
=
( cross- multiply )
5(4x - 3) = 15x
20x - 15 = 15x ( subtract 15x from both sides )
5x - 15 = 0 ( add 15 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Then
number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27
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