A grup of boys and girls planted a total trees. Each boy planted 7 trees, and each girl planted 5 trees.There were 4 more boys than girls in the group.
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Answers
Answer:
The number of girls = X ( constant)
The number of boys = ( X + 4 )
Total number of trees = ( 7+5) = 12
So ,
X (X+4) = 12
X2 + 4x = 12
X 2 +.4x - 12 = 0
X 2 + 6x - 2x -12 = 0
X ( X + 6) - 2( X + 6) = 0
(X+6)(X -2) =0
if , or,
X - 2 = 0
X+6 =0. X = 2
X = -6
(it is not eligible)
.: The number of the girls are 2 .
The number of the boys are (2+4)= 6 .
Answer:
Total number of trees is not given...
If it is 40, then Number of boys = (1 + 4) = 5, and Number of girls = 1
If it is 52, then Number of boys = (2 + 4) = 6, and Number of girls = 2
If it is 64, then Number of boys = (3 + 4) = 7, and Number of girls = 3
If it is 76, then Number of boys = (4 + 4) = 8, and Number of girls = 4
So the total number of trees must be a number in the arithmetic progression: 40, 52, 64, 76, 88, . . . . . . . .
Step-by-step explanation:
Let's assume that the number of girls is x.
According to the problem:
Number of boys = x + 4
Each boy planted 7 trees
∴ Number of trees planted by the boys = 7(x + 4)
Each girl planted 5 trees
∴ Number of trees planted by the girls = 5x
Total number of trees planted by the group = 7(x + 4) + 5x = 12x + 28
Total number of trees is not given...
If it is 40, then Number of boys = (1 + 4) = 5, and Number of girls = 1
If it is 52, then Number of boys = (2 + 4) = 6, and Number of girls = 2
If it is 64, then Number of boys = (3 + 4) = 7, and Number of girls = 3
If it is 76, then Number of boys = (4 + 4) = 8, and Number of girls = 4
So the total number of trees must be a number in the arithmetic progression: 40, 52, 64, 76, 88, . . . . . . . .