Respuesta :
Answer:
15 tbsp of lime juice and 12 tbsp of soy sauce
Step-by-step explanation:
Recall that ratios can also be expressed in a fraction. So, we can write 5:4 as [tex]\frac{5}{4}[/tex].
The problem asks for the ratio's numerator and denominator when their sum is equal to 27.
We can represent the lime juice as l and soy sauce as s, then we have,
[tex]\frac{l}{s} =\frac{5}{4}[/tex]
l + s = 27
We can treat this as a system of equations to find l and s individually!
[tex]\frac{l}{s} =\frac{5}{4}\\[/tex] --> 4l = 5s (cross multiply)
Let's write s in terms of l and solve for l before plugging in its value to find s. (We could've done the inverse and find s first before finding l)
[tex]\frac{4}{5} l=s[/tex]
l + s = 27
l + (4/5)l = 27
(9/5)l = 27
l = 15 (divide by 9/5 or multiplied 5/9 both sides)
15 + s = 27
s = 12
let me know if you have any questions!
