Answer:
Number of boys = 6
Price of basketball = [tex]\$50[/tex]
Explanation:
Given: If each boy were to contribute $8, then they would be $2 short. If they were to contribute $9 each, they would have an extra $4.
To find: Number of boys and the price of the basketball
Solution:
Let x denotes number of boys and y denotes the price of the basketball
If each boy were to contribute $8, then they would be $2 short, equation obtained is [tex]8x=y-2[/tex]
[tex]8x-y=-2\,\,(i)[/tex]
If they were to contribute $9 each, they would have an extra $4, equation obtained is [tex]9x=y+4[/tex]
[tex]9x-y=4\,\,(ii)[/tex]
Subtract equation (ii) from (i)
[tex](8x-y)-(9x-y)=-2-4\\-x=-6\\x=6[/tex]
Put [tex]x=6[/tex] in equation (i)
[tex]8(6)-y=-2\\48-y=-2\\y=48+2\\y=50[/tex]
So,
Number of boys = 6
Price of basketball = [tex]\$50[/tex]
