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Wanda has 4 vases of flowers. Some of the vases contain 10 orchids. The other vases contain 3 begonias. There are 19 flowers in the vases in total. How many vases of each type of flower does Wanda have?
 

 Aug 31, 2021
 #1
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r = orchid vases               10 * r = 3 flows.. in orchid vases

(4-r) = begonia vases       3 * (4-r) = # flows. in begonia vases                  summed they equal 19 

 

10r     +    3*(4-r)      =    19        solve for 'r'   then     orchids = 10r    and   begonia = 3 (4-r)

 Sep 2, 2021
 #2
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Wanda has 4 vases of flowers.

Let 'x' number of vases contain 10 orchids,

then (4-x) number of vases contain 3 begonias.

Then, total number of flowers = 10(x) + 3(4-x)

 

 

 

Given that there are 19 flowers in vases total

So,           10(x) + 3(4-x) = 19

                10x + 12 - 3x = 19

                     7 x = 7

                       x = 1

So, Wanda have vase of 10 orchids and 4-1 = 

number of vases containing 3 begonias.

 Sep 2, 2021

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