It takes 3 2/6 spoons of chocolate syrup to make 2 3/5 gallons of chocolate milk how many spoons of syrup would it take to make four gallons of chocolate milk

Respuesta :

Answer:

The total number of spoons=6 of syrup will make 4 gallons of chocolate milk

Step-by-step explanation:

Step 1: Determine number of gallons in a spoon

The expression can be as follows;

T=g×n

where;

T=total gallons of milk

g=quantity per spoon

n=number of spoons of chocolate syrup

In our case;

T=2 3/5 gallons

g

n=3 2/6 spoons

replacing;

2 3/5=g×3 2/6

13/5=g×20/6

g=13/5×6/20

g=39/50 gallons

Each spoon of chocolate syrup makes 39/50 gallons of chocolate milk

Step 2: Determine number of spoons to make 4 gallons

n=T/g

n=4/(39/50)=(4×50/39)=5 5/39 spoons

The total number of spoons=6