You want to make bouquets of balloons. You choose 6 and 50 balloons. Every bouquet will have the same number of each color. What is the greatest possible number of bouquets you can make using all the balloons? Estimate how much you will earn if you sell each bouquet for $4.97.

2 ; $9.94

Step-by-step explanation:

Given that:

Balloons chosen : 6 and 50

Greatest possible number of bouquet that can be made using all balloons

To find this ; obtain the greatest common factor of 6 and 50

Factors of 6 : 1, 2, 3, 6

Factors of 50 : 1, 2, 5, 10, 25, 50

.the greatest factor common in both is 2.

Greatest possible number of bouquet using all balloons = 2

If each bouquet sells for $4.97

Earning = 2 * $4.97

Earning = $9.94

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584