M = Her money
If she spends 5 / 9 of her money the rest is 4 / 9 of her money.
Victoria has $24 left means:
4 M / 9 = $24
Multiply both sides by 9
4 M = $216
Divide both sides by 4
M = $54
Victoria spend 5 * $54 / 9 = $30
F = Price of flan
C = Price of chicken pie
Each chicken pie cost 1 / 6 as much as the flan means:
C = F / 6
Victoria spends 5 / 9 of her money of a flan and two chicken pies means:
5 M / 9 = F + 2 C
Replace C = F / 6 in this equation
5 M / 9 = F + 2 * F / 6
5 M / 9 = F + 2 * F / 2 * 3
5 M / 9 = F + F / 3
5 M / 9 = 3 F / 3 + F / 3
5 * 54 / 9 = 4 F / 3
$ 270 / 9 = 4 F / 3
$ 30 = 4 F / 3
Multiply both sides by 3
$ 90 = 4 F
Divide both sides by 4
$22.5 = F
F = $22.5
a.
Victoria spend $30
b.
The flan cost $22.5
Victoria spends 5/9 of her money of a flan and two chicken pies. Each chicken pie cost 1/6 as much as the flan. Victoria has $24 left.
a. How much money does Victoria spend?
b. How much does the flan cost?
1 answer
1 answer