Answer:
She colored 30 yellow place value disks and 50 disks are left to color.
Step-by-step explanation:
Let total number of disks be x.
It is given that, she colored 2/6 of the disks red. She colored 1/4 of the disks yellow.
[tex]\text{Red disks}=\dfrac{2}{6}x[/tex]
[tex]\text{Yellow disks}=\dfrac{1}{4}x[/tex]
She colored 40 red place value disks.
[tex]\dfrac{2}{6}x=40[/tex]
[tex]\dfrac{1}{3}x=40[/tex]
[tex]x=120[/tex]
It means total number of disks is 120.
[tex]\text{Yellow disks}=\dfrac{1}{4}x=\dfrac{1}{4}(120)=30[/tex]
So, she colored 30 yellow place value disks.
Remaining disks = Total disks - Red disks - Yellow disks
[tex]=120-30-40[/tex]
[tex]=50[/tex]
Therefore, 50 disks are left to color.
