SUBTRACTION
Container X contained 1200 g of sand. Container Y contained 7.2 kg of sand. After an equal amount of sand was removed from each container, Container Y now has 7 times as much sand as Container X. How much sand was removed from each container? Give your answer in kilograms.
- First, Convert 1200 grams into kilograms
[tex] \sf1 \: kg = 1000 \: g \\ \\ \sf1200 \times \frac{1}{1000} \: kg = 1200 \times \frac{1000}{1000} \: g \\ \\ \sf1.2 \: kg = 1200 \: g[/tex]
- Let n be the amount of sand removed, and y is seven times greater than x
[tex] \sf x = 1.2 \: kg - n \\ \sf y = 7.2 \: kg - n \\ \sf y = 7x[/tex]
- Subtitute, Multiply, Transpose, Subtract, Transpose again, and Divide, Follow the steps.
[tex] \sf < subtitute > \\ \boxed{ \sf \sf7.2 - n = 7(1.2 - n)} [/tex]
[tex]\sf < multiply > \\ \boxed{ \sf7.2 - n = 8.4 - 7n} [/tex]
[tex]< \sf transpose > \\ \boxed{ \sf7n - n = 8.4 - 7.2} [/tex]
[tex]\sf < subtract > \\ \boxed{ \sf6n = 1.2} [/tex]
[tex]< \sf \: tranpose \: again > \\ \boxed{ \sf n = 1.2 \div 6} [/tex]
[tex]\sf < divide > \\ \boxed {\sf n = 0.2}[/tex]
Thus, the value of n or the amount of sand removed in each container is 0.2 kg
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