Question

Of 160 pies that jack baked, 0.55 were apple pies the rest were cherry pies. After Jack sold some of the apple pies,3/5 of the remaining pies where cherry pies. A. How many pies are left? b. How many apple pies were sold?

Answer 1

A) The number of left pies are 120.

B) The number of sold apple pies are 40.

Explanation:

Given,

Total number of pies = 160

We need to find;

a) number of pies left after selling.

b) number of sold apple pies.

Solution,

Firstly we will find out the total number of apple pies.

Here given that 0.55 of the total pies are apple pies.

framing in equation form, we get;

number of apple pies =
`160* 0.55=88`

So the number of cherry pies is equal to total number of baked pies minus number of apple pies.

framing in equation form, we get;

number of cherry pies =
`160-88=72`

Now Let the number of apple pies sold be 'x'.

So according to question after selling 'x' apple pies
`(3)/( 5)` of the remaining pies were cherry pies.

And we have calculated the number of cherry pies i.e. 72.

So we can frame it in equation form as;

`(160-x)(3)/(5)=72`

On using cross multiplication, we get;

`(160-x)3=72*5\\\\480-3x=360`

On combining the like terms, we get;

`480-360=3x\\\\120=3x`

Now using division property we will divide both side by '3' and get;

`(120)/(3)=(3x)/(3)\\\\40=x`

Now number of left pies is equal total number of pies minus sold number of pies.

Number of left pies =
`160-40=120`

A) Hence The number of left pies are 120.

B) The number of sold apple pies are 40.