A group of people went to a coffee shop. Each person chose a drink and a treat.

number of people who chose coffee: number of people who chose tea = 1:4

Of those who chose coffee,

number of people who chose a muffin number of people who chose a tart = 2:7

Of those who chose tea,

number of people who chose a muffin : number of people who chose a tart = 5:1

What fraction of the people chose a tart?

Fraction of the people chose a tart =

Step-by-step explanation:

Given - A group of people went to a coffee shop. Each person chose a

            drink  and a treat. number of people who chose coffee: number of  

            people who chose tea = 1:4. Of those who chose coffee,  number of  

            people who chose a muffin number of people who chose a tart =    

            2:7. Of  those who chose tea,  number of people who chose a muffin  

            : number of people who chose a tart = 5:1.

To find - What fraction of the people chose a tart?

Proof -

Let the Total number of People went to a coffee shop = 5x

Now,

As given, number of people who chose coffee: number of people who chose tea = 1:4

⇒Total number of people who chooses coffee = = x

  Total number of people who chooses tea  = = 4x

Now,

As given,

Of those who choose coffee,  number of people who chose a muffin number of people who chose a tart = 2:7

⇒Total number of people who choose muffin after coffee =

   Total number of people who choose tart after coffee =

Also,

Given that

Of those who chose tea,  number of people who chose a muffin : number of people who chose a tart = 5:1

⇒Total number of people who choose muffin after tea =

   Total number of people who choose tart after tea =

∴ we get

Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea

⇒Total number of people who chooses tart = +

                                                                         =

                                                                         =

                                                                         =

⇒Total number of people who chooses tart =

Now,

Fraction of the people chose a tart =

                                                           =

                                                           =

⇒Fraction of the people chose a tart =

step-by-step explanation:

wrgasadvauoyfaiua-00uhf

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions