Q:

Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ratio, which of the following statements are true?a. 3/4 of a 4-gallon mix would be yellow paint.b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.c. Every 1 gallon of red paint requires 3 gallons of yellow paint.d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.

Accepted Solution

A:
Answer:a. b. c. and d.  are true; e. is falseStep-by-step explanation:1 gallon of red paint : 3 gallons of yellow paint                                   &1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange painta. 3/4 of a 4-gallon mix would be yellow paint.True. 3 out of 4 gallon mix is yellow and 1 out 4 is redb. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.1 gallon of red paint : 3 gallons of yellow paintdivide by 3 in both sides of :1/3 gallon of red paint : 3/3 gallons of yellow paint1/3 gallon of red paint: 1 gallon of yellow paint. Truec. Every 1 gallon of red paint requires 3 gallons of yellow paint.True. 1 gallon of red paint : 3 gallons of yellow paintd. There is 1 gallon of red paint in a 4-gallon mix of orange paint.True. 1 out of 4 is red and 3 out of 4 is yellow.e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paintMultiply by 2 each side of the equation2(1 of red paint + 3 of yellow paint) = 2(4 of orange paint)apply to each member of the parenthesis ()2 of red paint + 6 of yellow paint = 8 of orange paintActually there are 6 gallons of yellow paint in a 8 gallon mix. So e. is false.