Question

Sidney works at a party supply store. Yesterday, she spent the day arranging 160 balloons into 22 balloon bouquets. She put 4 balloons in each small bouquet and 10 balloons in each large bouquet. How many small

bouquets did Sidney arrange?

Answer 1

Sidney arranged 10 small bouquets of balloons. She used a total of 160 balloons to make up 22 bouquets, with small bouquets containing 4 balloons each and large bouquets containing 10 balloons each.

Step-by-step explanation:

Sidney works at a party supply store where she spent a day arranging 160 balloons into 22 balloon bouquets. The balloons are divided into small bouquets (with 4 balloons each) and large bouquets (with 10 balloons each). To find out how many small bouquets Sidney arranged, we can use a system of equations.

Let's denote the number of small bouquets as s and the number of large bouquets as l. We can then set up two equations based on the information provided:

1. Every small bouquet has 4 balloons, and every large bouquet has 10 balloons, which totals to 160 balloons: 4s + 10l = 160.
2. There are 22 bouquets in total: s + l = 22.

Solving the system of equations, we find the number of small and large bouquets Sidney arranged:

1. From the second equation, we can express l as l = 22 - s.
2. Substitute l = 22 - s into the first equation: 4s + 10(22 - s) = 160.
3. This simplifies to 4s + 220 - 10s = 160, which then simplifies to -6s = -60.
4. Dividing both sides by -6 gives us s = 10.

So, Sidney arranged 10 small bouquets of balloons.