There are 47 purple marbles
Step-by-step explanation:
Let p be the number of purple marbles
and w be the number of white marbles
Then according to given statements
p+w = 67 Eqn 1
p = 2w+7 Eqn 2
Putting p = 2w+7 in eqn 1
[tex]2w+7+w = 67\\3w = 67-7\\3w = 60[/tex]
Dividing both sides by 3
[tex]\frac{3w}{3} = \frac{60}{3}\\w = 20[/tex]
Putting w = 20 in eqn 2
[tex]p = 2(20) + 7\\p = 40+7\\p = 47[/tex]
Hence,
There are 47 purple marbles
Keywords: Linear equations
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