Question

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities, where x represents the number of spoonfuls of brand A that Steve takes and y represents the number of spoonfuls of brand B that Steve takes? Select all the correct answers.

Answer 1

The complete question in the attached figure

we have that
x----------------> represents the number of spoonfuls of brand A 
y----------------> represents the number of spoonfuls of brand B 
Brand A---------------- > Calcium. Iron Vitamins ------ >  5 4 7  milligrams
Brand B---------------- > Calcium. Iron Vitamins ------ >  4 6 4  milligrams

Steve needs to take at least
Calcium milligrams >=24
Iron milligrams >=15
Vitamins milligrams >=16

I proceed to calculate the system inequalities

for Calcium
5x+4y>=24

for iron
4x+6y>=15

for Vitamins
7x+4y>=16

using a graph tool to solve the system of inequalities
see the attached figure

the answer is the point (1,5) and the point (4,1) are solution