4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
$39 for the vase. Grayson’s Flowers, in contrast, charges $3 per rose and $15 for the vase. If
Harry orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. How many roses would there be? What would the total cost be?


Answer :

The number of roses purchased will be; 12 roses

The total cost of the bouquet is; $51

Let number of roses be x

For Summerfield florists;

At $1 per rose and $39 for the vase, cost is;

C = x + 39

For grayson's flowers;

At $3 per rose and $15 for the vase,total cost is;

C = 3x + 15

We are told when he orders a certain number of roses, the cost will be the same with each flower shop.

Thus;

x + 39 = 3x + 15

3x - x = 39 - 15

2x = 24

x = 24/2

x = 12

Total cost is;

C = 12 + 39

C = $51

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