Answer:
Arnie has enough red paint
Step-by-step explanation:
step 1
Find out the number of ounces of red paint needed to make 3 cups of dark orange paint
Let
x -----> number of ounces of red paint
y -----> number of ounces of yellow paint
z ----> cups of dark orange
we know that
\frac{x}{z}=\frac{7}{1}\ \frac{ounces\ red\ paint}{cups\ dark\ orange}
z
x
=
1
7
cups dark orange
ounces red paint
so
For z=3 cups
substitute and solve for x
\frac{x}{3}=\frac{7}{1}
3
x
=
1
7
x=21\ ounces\ of\ red\ paintx=21 ounces of red paint
step 2
Find out the number of ounces of red paint needed to make 3 cups of light orange paint
Let
x -----> number of ounces of red paint
y -----> number of ounces of yellow paint
z ----> cups of light orange
we know that
\frac{x}{z}=\frac{3}{2}\ \frac{ounces\ red\ paint}{cups\ light\ orange}
z
x
=
2
3
cups light orange
ounces red paint
so
For z=3 cups
substitute and solve for x
\frac{x}{3}=\frac{3}{2}
3
x
=
2
3
x=4.5\ ounces\ of\ red\ paintx=4.5 ounces of red paint
step 3
Adds the ounces of red paint
21+4.5=25.5\ ounces\ of\ red\ paint21+4.5=25.5 ounces of red paint
25.5\ ounces < 32\ ounces25.5 ounces<32 ounces
therefore
Arnie has enough red paint
