Question

Victoria's spends 5/9 of her money on a flan and two chicken pies each chicken pie cost 1/6 as much as the fly Victoria has $24 left how much does Victoria spend and how much does a flan cost

Answer 1

She spend $30

A flan cost $22.5

Explanation:

Let's call x her initial money

After she bought the flan and two chicken pies she has $24.

She spend (5/9)*x in the flan and two chicken, then

x - (5/9)*x = 24

(4/9)*x = 24

x = 24*(9/4)

x = $54

She spend (5/9)*54 = $30

Let's call f the flan cost

Each chicken pie cost 1/6 as much as the flan, then:

30 = f + (1/6)*f + (1/6)*f

30 = (4/3)*f

f = 30*(3/4)

f = $22.5

Answer 2

Amount spent by Victoria = $30.

Cost of 1 flan = $22.50

Explanation:

A.

Let x be total amount of money that Victoria had before purchasing the flan and chicken pies.

We have been given that Victoria's spends 5/9 of her money on a flan and two chicken pies and Victoria has $24 left. This means that 4/9 of total money is 24.

We can represent this information as:

`(4)/(9)x=24`

Let us solve for x.

`x=24*(9)/(4)`

`x=6*9=54`

Let us find 5/9 of 54 to figure out the amount spent by Victoria.

`\text{Amount spent by Victoria}=(5)/(9)*54`

`\text{Amount spent by Victoria}=5*6=30`

Therefore, Victoria spent an amount of $30.

B.

Let C be cost of one chicken pie and F be cost of one flan.

We have been given that each chicken pie cost 1/6 as much as the flan. We can represent this information in an equation as:

`C=(1)/(6)F...(1)`

We are also told that Victoria's spends 5/9 of her money on a flan and two chicken pies.

We can represent this information as:

`2C+F=30...(2)`

Upon substituting C's value in equation (2) we will get,

`2*((1)/(6)F)+F=30`

`((1)/(3))F+F=30`

Now let us have a common denominator.

`((1)/(3))F+(3F)/(3)=30`

`((1+3)/(3))F=30`

`((4)/(3))F=30`

`F=30*(3)/(4)`

`F=30*0.75`

`F=22.50`

Therefore, the cost of one flan is $22.50.