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TexaSuperdude
23.01.2020 •
Mathematics
In the first yard there are 10 roses less than in the second one. if 9 roses were transplanted from the second yard to the first one, then the first yard would have 2 times more roses than the second one. how many roses are there in the second yard?
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Ответ:
17
Step-by-step explanation:
Let x represent the number of roses in the first yard and y represent the number of roses in the second yard.
The first yard has 10 fewer roses than the second yard; this gives us
x = y-10
If we transplant 9 roses from the second yard to the first, this adds 9 roses to the first yard, giving us x+9.
This also makes the first yard, now x+9, equal to twice as much as the second yard (after the 9 come out); this gives us 2(y-9) and the equation
x+9 = 2(y-9)
From the first equation, we know that x = y-10; this gives us
y-10+9 = 2(y-9)
Combining like terms on the left, we have
y-1 = 2(y-9)
Using the distributive property on the right,
y-1 = 2(y)-2(9)
y-1 = 2y-18
Add 1 to each side:
y-1+1 = 2y-18+1
y = 2y-17
Subtract 2y from each side:
y-2y = 2y-17-2y
-1y = -17
Divide both sides by -1:
-1y/-1 = -17/-1
y = 17
There are 17 roses in the second yard, and 17-10 = 10 roses in the first one.
Ответ:
Number of roses in second yard=17
Step-by-step explanation:
We have to find number of roses in the second yard.
Let roses in second yard=x
In the first yard there are 10 roses less than in the second one.
Then, roses in first yard=x-10
If 9 roses were transplanted from the second yard to the first one, then the first yard would have 2 times more roses than the second one.
now, x-10+9=2(x-9)
i.e. x-1=2x-18
x=17
Hence, number of roses in second yard=17
Ответ:
There will be 2 ingredients left over
Step-by-step explanation: