The number of containers of [tex]\frac{1}{4}[/tex] that Thomas can fill with the paint he mixed is 42 containers.
How to calculate the number of containers of [tex]\frac{1}{4}[/tex] that can Thomas fill with his mixture?
To calculate the number of containers of [tex]\frac{1}{4}[/tex] that Thomas can fill with his mixture we must perform the following operation:
Add up the amounts of paint mixed:
- 4 [tex]\frac{3}{8}[/tex] + 6 [tex]\frac{1}{8}[/tex] = (4 + 6) + ([tex]\frac{3}{8} + \frac{1}{8}[/tex]) = 10 + [tex]\frac{4}{8}[/tex] = 10[tex]\frac{4}{8}[/tex]
So the total mixture equals 10 [tex]\frac{4}{8}[/tex]
Subsequently, we must divide this amount into containers of [tex]\frac{1}{4}[/tex], to know how many of these we use for the entire mixture:
- 10[tex]\frac{4}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex] = 10 [tex]\frac{4}{8}[/tex] × 4
- = (10 × 4) + ([tex]\frac{4}{8}[/tex] × 4)
- = 40 + [tex]\frac{16}{8}[/tex]
- = 40 + 2
- = 42
According to the above, the total mixture requires 42 containers of [tex]\frac{1}{4}[/tex] to be fully packed.
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