Please can anyone help? We're doing simultaneous equations ad I'm a bit confused on how to get the second equation, I got 4s - 14 = 3s.

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1 Answer
Jun 3, 2018

Let "C" be the original number of Sweets Charlie has and A be the original number of sweets that Anna has:

Charlie has 4 times as many sweets as Anna thus:
Equation 1: # C = 4 * A #

Charlie eats 14 sweets, Anna eats 2 sweets
# C -> C - 14 # and # A-> A-2 #

and after the change, Charlie has 3 times as many sweets as Anna thus:
Equation 2: # C - 14 = 3 * (A-2) = 3A-6 #

# Eq.1 - Eq.2 = C - (C-14) = 4A -(3A - 6) #
# 14 = A + 6 #

# A = 8, A-2 = 6 #
#C = 3*6 = 18 #

Thus, Charlie now has 18 sweets and Anna now has 6 sweets.