To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of $72.95 on the balloons and a gift bag for each person invited to the party. Write and solve an equation to find x, the number of
people Mark invited to the party

 , Required equation

The number of  people Mark invited to the party = 13

Step-by-step explanation:

According to the question,

Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)

Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,

cost per gift =$5.15

thus,

 , Required equation

To solve , first

subtract 6 from both sides, we get

The number of  people Mark invited to the party = 13

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6