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LuluMathLover101
16.01.2020 •
Mathematics
The gardeners at middleton place gardens want to plant a total of 41 white and pink hydrangeas in one flower bed. in another flower bed, they want to plant 108 hydrangeas. in this bed, they want 2 times the number of white hydrangeas and 3 times the number of pink hydrangeas as in the first bed. use a system of equations to find how many white and how many pink hydrangeas the gardeners should buy altogether.
the gardeners should buy white hydrangeas and pink hydrangeas.
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Ответ:
The gardeners should buy 45 white hydrangeas and 104 pink hydrangeas.
Step-by-step explanation:
Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.
So, x + y = 41 {Given} (1)
Again, for another flower bed they want to plant 108 hydrangeas, where the number of white ones is 2 times that of Middleton Place Gardens and the number of pink ones is 3 times that of Middleton Place Gardens.
So, 2x + 3y = 108 (2)
Now, solving equations (1) and (2) we get,
3y - 2y = 108 - 82 = 26
⇒ y = 26
And from equation (1) we get,
x = 41 - 26 = 15.
So, the total number of white hydrangeas the gardeners have to buy is (x + 2x) = 3x = 3 × 15 = 45.
And the total number of pink hydrangeas the gardeners have to buy is (y + 3y) = 4y = 4 × 26 = 104. (Answer)
Ответ:
1
Step-by-step explanation: