Question

5-2 additional practice
in 1–9, write three ratios that are equivalent to the given ratio.
1.
2.
3.

1. 8:10
2. 6:8
3. 10:12
4. 12 to 18
5. 16 to 18
6. 5 to 25

in 10–12, use = or ≠ to show whether the ratios are equivalent.

1. 3:12 6:24

11.

1. 4 to 20 1 to 4

in 13 and 14, complete the tables with equivalent ratios.

1. a wildlife conservancy maintains a ratio of 2 squirrels for every 8 birds.

how many birds would there be if there were 15 squirrels?
animals
squirrels 2 4 5 15
birds 8 20 40

1. at rolling hills middle school, the ratio of the total number of students

to the number of students with pets is 3 to 1. if there are 243 students
at the school, how many students have pets?
number of students
with pets 1 3 9 81
total number of
students 3 9 81

Explanation:

Step1: Identify the ratio

The ratio of squirrels to birds is \(2:8\), which simplifies to \(1:4\) (dividing both by 2). So for every 1 squirrel, there are 4 birds.

Step2: Set up the proportion for 15 squirrels

Let \(x\) be the number of birds for 15 squirrels. Using the ratio \(1:4 = 15:x\) (or from the original ratio \(2:8 = 15:x\)). Cross - multiplying, \(2x=15\times8\).

Step3: Solve for x

First, calculate \(15\times8 = 120\). Then, \(x=\frac{120}{2}=60\). We can also check using the pattern in the table. The ratio of squirrels to birds is consistent: when squirrels are 2, birds are 8 (2×4 = 8); when squirrels are 4, birds are 16 (4×4 = 16); when squirrels are 5, birds are 20 (5×4 = 20); when birds are 40, squirrels are \(40\div4 = 10\); and for 15 squirrels, \(15\times4=60\).

Answer:

60