Question

5. Which of the following expressions isequivalent to the expression below?2 394Х4AC29;woltON Alw94B+D1M

Answer 1

A) 9 cups of berries to 12 cups of juice

Step-by-step explanation

to figure out this, we need to find the original ratio and then compare

Step 1

find the ratio:

ratio cups of berries to cups of juices

`\text{ratio}=\frac{3\text{ cups of berries}}{4\text{ cups of juices}}=(3)/(4)`

hence, the rario is 3/4

Step 2

now, check the ratio of every option

a)9 cups of berries to 12 cups of juice

`\begin{gathered} \text{ratio}_a=\frac{9\text{ cups of berries}}{12\text{ cups of juice}}=(3)/(4) \\ \text{ratio}_a=(3)/(4) \end{gathered}`

b) 12 cups of berries to 9 cups of juice

`\text{ratio}_b=\frac{12\text{ cups of berries}}{9\text{ cups of juice}}=(4)/(3)`

c) 6 cups of berries to 15 cups of juice

`\text{ratio}_c=\frac{6\text{ cups of berries }}{15\text{ cups of juice}}=(6)/(15)=(2)/(5)`

d) 15 cups of berries to 10 cups of juice

`\text{ratio}_d=\frac{15\text{ cups of berries }}{10\text{ cups of juice}}=(15)/(10)=(3)/(2)`

therefore, the option that haas the same ratio is a) 3/4

I hope this helps you