Joyce has between 25 and 75 coloured beads. When she makes them into groups of 9, 8 beads are left out. When she groups them into groups of 8, 6 beads are left out. How many beads does she have?
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in first case
no.of beads in each group = x
total beads= 9x+8
because 8 beads are left
in second case
no.of beads in one group be y
total beads = 8y +6
Now, total beads = 9x+8 = 8y + 6
9x-8y = 6-8
9x-8y = -2
let us assume x=6 & y=7
9*6-8*7=-2
54-56=-2
-2=-2
l.h.s.=r.h.s.
So,the values of x and y are correct.
Now total no.of beads =9x+8=9*6+8
=54+8=62
&
8y +6=8*7+6=56+6= 62
Therefore,62 is the correct answer.
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no.of beads in each group = x
total beads= 9x+8
because 8 beads are left
in second case
no.of beads in one group be y
total beads = 8y +6
Now, total beads = 9x+8 = 8y + 6
9x-8y = 6-8
9x-8y = -2
let us assume x=6 & y=7
9*6-8*7=-2
54-56=-2
-2=-2
l.h.s.=r.h.s.
So,the values of x and y are correct.
Now total no.of beads =9x+8=9*6+8
=54+8=62
&
8y +6=8*7+6=56+6= 62
Therefore,62 is the correct answer.
If it is correct mark as brainliest answer.. and hit the Thank You button
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