Question

Solve the following problems:
1. A turtle and a snail are 360 meters apart, and they start to move towards each other at 3 p.m. If the turtle is 11 times as fast as the snail, and they met at 3:40 p.m., find the speed of each.
2. The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
3. Jessica has a combined total of 48 nickels and dimes. How many of each does she have if she has $3.25 total?
they traveled 360m in 40 minutes, for a combined speed of 9 m/min
so the snail's speed is 9 * 1/12 = 3/4 m/min
and the turtle's speed is 9 * 11/12 = 33/4 m/min

j/p = 5/2
j-15 = p+15
so,
(5/2 p)-15 = p+15
p = 20, j=50
so they had 70 dolls altogether

n+d = 48
5n+10d = 325
n=31, d=17

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