Answer:
8. $114
10. 60 stamps
Step-by-step explanation:
8.
Let Dylan have d, Mike have m, and Jeremy have j
3 of them have 171, so we can write:
1. [tex]d + m + j = 171[/tex]
Mike has twice as Dylan, so we can write:
2. m = 2d
Jeremy had three times as Mike, so:
3. j = 3m
We can write equation 3 as m = j/3
Also, if we put this into equation 2, we have:
j/3=2d
d=j/6
Now we have d and m in terms of j. We put it into equation 1 and solve for j:
[tex]\frac{j}{6} + \frac{j}{3} + j = 171\\\frac{3j+6j+18j}{18}=171\\\frac{27j}{18}=171\\27j=18*171\\27j=3078\\j=\frac{3078}{27}\\j=114[/tex]
Jaime has $114
10.
amount of stamps Maddy has is m and amount Simon has is s
Maddy had twice as many stamps as Simon:
m = 2s
Also
After Maddy sold 60 stamps, Sinom had twice as many stamps as Maddy:
s+60=2(m-60)
We put the first equation in the second and solve for s:
s+60=2(m-60)
s+60=2(2s-60)
s+60=4s-120
180=3s
s=60
THus, m = 2(60) = 120
So maddy had 120 - 60 = 60 more stamps than Simon
