Multiple step ratios

The ratio of blue beads to red beads is 2:3. The ratio of red beads to black beads is also 2:3. What is the ratio of blue beads to black beads?

The ratio of girls to boys in a class is 3:5. The ratio of boys to the number of chairs in the class is 1:2. What is the ratio of girls to the number of chairs?

The ratio of dimes to nickels is 6:7. The ratio of nickels to quarters is 3:2. What is the ratio of dimes to quarters?

The ratio of sweets to gums is 1:4. The ratio of gums to lollipops is also 3:7. What is the ratio of sweets to lollipops?

The ratio of scooters to bicycles is 7:5. The ratio of bicycles to quad bikes is 3:8. What is the ratio of scooters to quad bikes?

The ratio of blue beads to red beads is 2:3. The ratio of red beads to black beads is also 2:3. What is the minimum total of all the beads

The ratio of girls to boys in a class is 3:5. The ratio of boys to the number of chairs in the class is 1:2. What is minimum total of all the children and chairs combined?

The ratio of dimes to nickels is 6:7. The ratio of nickels to quarters is 3:2. What is the minimum total number of coins?

The ratio of sweets to gums is 1:4. The ratio of gums to lollipops is also 3:7. What is the minimum number of snacks?

The ratio of scooters to bicycles is 7:5. The ratio of bicycles to quad bikes is 3:8. What is the minimum number of vehicles?