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Complete table by using the prices and the numbers of the balloons.
Write the equation depending on the table.
Solve the equation for b.
Use the fact that the number of bunches of helium balloons is equal to b-36.
Table:
| Number | Price | Total | |
|---|---|---|---|
| Metallic Balloons | b | $2 | $2b |
| Bunches of Helium Balloons | b-36 | $3.50 | $3.50b-$126 |
5.50b-126=281
74
38
The following information about Party Supplies Inc. is given.
If b is the number of metallic balloons that were sold, we can complete the given table.
| Number | Price | Calculation | Total | |
|---|---|---|---|---|
| Metallic Baloons | b | $2 | $2* b | $2b |
| Bunches of Helium Balloons | b-36 | $3.50 | $3.50(b-36) | $3.50b -$126 |
The equation that represents the problem can be written as the sum of the total income from both types of balloons. Using the table from Part A, we know these values. We also know that the sum should come to a total of $281.
Let's find the number of metallic balloons b that were sold by solving the equation from Part B.
LHS+126=RHS+126
Add terms
.LHS /5.50.=.RHS /5.50.
a* b/c=a/c* b
Calculate quotient
The number of metallic balloons that were sold is 74.
We know that the number of bunches of helium balloons is 36 less than the number of metallic balloons b, and that b=74. We can now find how many bunches of helium balloons were sold.
Thus, the number of bunches of helium balloons were sold is 38.
