Respuesta :
The equation is 2x+x=27
2x means Jay caught twice as much as Blair. and x is the amount of fish Blair caught.
2x+x=27
combine the like terms
3x+27
divide 3 on both sides
x=9
so Jay caught 18 fish, and Blair caught 9
2x means Jay caught twice as much as Blair. and x is the amount of fish Blair caught.
2x+x=27
combine the like terms
3x+27
divide 3 on both sides
x=9
so Jay caught 18 fish, and Blair caught 9
Answer:
Blair caught 9 and Jay caught 18
Step-by-step explanation:
Given: Jay and Blair went fishing. Together, they caught [tex]27[/tex] fish. Jay caught [tex]2[/tex] times as many fish as Blair.
To Find: Number of fish caught by Jay and Blair each.
Solution:
Total number of fishes caught by both [tex]=27[/tex]
let number of fishes caught by Blair [tex]=\text{x}[/tex]
As,
Number of fish caught by Jay [tex]=2(\text{Number of fish caught by Blair})[/tex]
Number of fish caught by Jay [tex]=2\text{x}[/tex]
Total number of fish caught by Jay and Blair
[tex]=\text{x}+2\text{x}[/tex]
[tex]3\text{x}[/tex]
now,
[tex]3\text{x}=27[/tex]
[tex]\text{x}=9[/tex]
Number of fish caught by Blair [tex]=9[/tex]
Number of fish caught by Jay [tex]=2\text{x}[/tex]
Number of fish caught by Jay [tex]=2\times9[/tex]
[tex]18[/tex]
Hence the number of fish caught by Jay is [tex]18[/tex] and by Blair is [tex]9[/tex].
