If Sue buys A, she will have $1.50 left; if she buys B, she will have $2 left. Given that 2A=3B, how much money does she have?

Mainuillato2p

Mainuillato2p

Answered question

2022-09-19

If Sue buys A, she will have $1.50 left; if she buys B, she will have $2 left. Given that 2A=3B, how much money does she have?

Answer & Explanation

Haylee Krause

Haylee Krause

Beginner2022-09-20Added 10 answers

Let M be the amount of money that Sue has. Then we obtain the following system:
{ 2 F = 3 L M F = 1.5 M L = 2 { 2 F = 3 L 2 M 2 F = 3 3 M 3 L = 6 { 2 M 3 L = 3 3 M 3 L = 6
Subtracting the first equation from the second yields M = 3, as desired.
hommequidort0h

hommequidort0h

Beginner2022-09-21Added 2 answers

Let x be the amount of money that Sue have, F is the price of a fairy floss, L is the price of a lollipop.
2 F = 3 L F = 3 L 2
x F = 1.5
x L = 2 ( )
x F = 1.5 x 3 L 2 = 1.5 2 x 3 L = 1 2 x 3 + L = 1 ( )
( ) + ( ) x 3 = 1 x = 3

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