Question

The racio of orange juice concentrate to water that zoe used to make orange juice yesterday was 3:7.she used 14 ounces of water in the juice yesterday today she wants to make twice as much orange juice. how much orange juice concentrate does she need?A.6 ounces. B.12 ounces. C.18 ounces D.28 ounces

Answer 1

Answer:

B.12 ounces

Step-by-step explanation:

step 1

Find out the ounces of orange juice concentrate used yesterday

Let

x ----> ounces of orange juice concentrate used yesterday

y ---> ounces of water used yesterday

we know

that

$\frac{x}{y}=\frac{3}{7}$ ----> equation A

$y=14$ ----> equation B

substitute equation B in equation A

$\frac{x}{14}=\frac{3}{7}$

solve for x

$x=\frac{3}{7}(14)$

$x=6\ oz$

step 2

today she wants to make twice as much orange juice.

To find out how much orange juice concentrate she needs, multiply the ounces of orange juice concentrate used yesterday by 2

so

$2(6)=12\ oz$