Question

Target 3: I can create or complete a table using equivalent ratios.

4. A wallpaper pattern has 6 stars for every 4 moons. How many stars would there be if there were 16
moons?
Stars
Moons

Answer 1

To find the number of stars corresponding to 16 moons, given the ratio of 6 stars to 4 moons, we use equivalent ratios. After simplifying the ratio to 3 stars for every 2 moons, we calculate that there would be 24 stars for 16 moons.

Step-by-step explanation:

The student's question is about creating or completing a table using equivalent ratios to figure out how many stars would correspond to 16 moons, given that a wallpaper pattern has 6 stars for every 4 moons. To solve this, we use proportionality of ratios.

First, we write the given ratio of stars to moons:

Stars : Moons = 6 : 4

We simplifiy this ratio by dividing both terms by the common factor of 2:

Stars : Moons = 3 : 2

Next, we find how many pairs of 2 moons are in 16 moons:

16 moons ÷ 2 = 8 pairs of moons

If each pair of moons corresponds to 3 stars, then:

8 pairs of moons * 3 stars/pair = 24 stars

Thus, there would be 24 stars if there were 16 moons.

Answer 2

24

Step-by-step explanation:

Remark

This can be done with a proportion which consists of 2 equal ratios. That's 4 parts total. If you know 3 of the parts, you can find the 4th.

Givens

Stars1 6

Moon1 4

Starts2 x

Moon2 16

Formula

stars1/moon1 = stars2/moon2

Solution

6/4 = x / 16 Multiply by 16

6 * 16/4 = x

Answer: 96/4 = 24