A gift tag cost m cents. A wrapping paper cost thrice as much. David paid $12 for 7 gift tags and wrapping paper. How much did he pay for the sheets of wrapping paper? Express your answers in terms of m

Respuesta :

Answer:

Amount paid  for the sheets of wrapping paper is [tex]7 \times 3m[/tex]

Step-by-step explanation:

Given:

Cost of gift tag =  m cents

Cost of wrapping paper =  thrice as much as gift tag

Total cost paid for 7  gift tags and wrapping paper = $12

To Find:

Amount paid  for the sheets of wrapping paper = ?

Solution

The cost of gift bag = m

The cost of wrapping paper = 3m

Now the cost of  7 gift bags and wrapping paper  is $12[tex](7 \times =>\text{cost of one gift bag})+ (7 \times \text{cost of one wrapping paper} )= 12[/tex]

=>7m + 7(3m) = 12

=>7m +21m =12

=>28m = 12

=> [tex]m = \frac{12}{28}[/tex]

=> m = 0.428 cents

Now the cost of one wrapping paper  

=> 3m

=> 3(0.428)

=>1.284 cents

Cost of 7 wrapping paper

=> [tex]7 \times 3m[/tex]

=> 7 X 1.284

=>8.988

=>9 cents