Question

Mr Oneill bought cheese, turkey slices and wheat rolls for $55. The ratio of the amount of money spent on cheese to the amount of money spent on turkey slices is 2:3. The ratio of the amount of money spent on cheese to the amount of money spent on wheat rolls is 6:5. Each turkey slice cost $0.75. How many turkey slices did Mr. O'neill buy?

Answer 1

Answer:

Mr. O'neill buy 33 turkey slices.

Step-by-step explanation:

Firstly let us denote amount of money spent on Cheese by the symbol C.

                                 amount of money spent on Turkey by the symbol T.

                                  amount of money spent on Wheat by the symbol W.

Now we are the ratio of amount of money spent on cheese to the amount of money spent on turkey slices as 2:3 ;

       We can represent this as  $\frac{C}{T}$ = $\frac{2}{3}$

The ratio of the amount of money spent on cheese to the amount of money spent on wheat rolls is 6:5 ;

        We can represent this as  $\frac{C}{W}$ = $\frac{6}{5}$

Now we will make C also 6 in the first ratio to represent similarity in ratios i.e.     $\frac{C}{T}$ = $\frac{2 * 3}{3 * 3}$ = $\frac{6}{9}$

So, the ratio of amount of money spent on cheese to the amount of money spent on turkey slices to the amount of money spent on wheat rolls is represented by 6 : 9 : 5.

To find the amount of money spent on turkey slices = $\frac{9}{6+9+5} * 55$ = $24.75

Since cost of each turkey slice cost = $ 0.75

Therefore, Cost of each turkey slice * Number of turkey slices = Total amount of money spent on turkey slices

    $0.75 * Number of turkey slices = $24.75

Therefore, Number of turkey slices that Mr. O'neill buy = $24.75/$0.75

                                                                                            = 33 slices.