Question

Party Supplies Inc. Sells metallic ballons for $2 each and Helium ballons for 3:50 per bunch. Yesterday the sold 36 more metallic ballons than the number of bunches of helium ballons the total sale for both types of ballons was $281. Let B represent the amount of Metallic sold

Answer 1

c) 2.00 b + 3.50 (b - 36) = 281

2 b + 3.5 b - 126 = 281

5.5 b + 126 = + 126

5.5 b = 407

b = 74

d) B = 74

74 - 36 = 38

Answer 2

Metallic Balloons = 74

Bunches of Helium Balloons = 38

Explanation:

The question basically asks for the number of "metallic balloons" sold and the number of bunches of "helium balloons" sold.

We will do it in our way. Let B be number o metallic balloons and H be number of bunches of Helium balloons.

Since Metallics cost 2 each and Heliums cost 3.5 per bunch and totaled sales is 281, we can write and equation as:

2B + 3.5H = 281

and, since they sold 36 MORE metallic than helium ,we can write an equation as:

B - 36 = H

We can put 2nd equation in 1st one and solve for B first:

`2B + 3.5H = 281\\2B + 3.5(B-36) = 281\\2B+3.5B-126=281\\5.5B=407\\B = (407)/(5.5)\\B=74`

B = 74

Now, we find H:

H = B - 36

H = 74 - 36 = 38

H = 38