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7. During a recent storm clean up there is a mound of m tons of sand at the beach. Throughout the day, 1200 tons of sand is added to the mound. Two dump trucks come in and take 800 tons of sand each from the mound. At the end of the day, the mound has 2,400 tons of sand. A. Write the equation that describes the situation. B. Solve for m.

Respuesta :

Answer:

There was 2800 tons of sand in the mound initially.

Step-by-step explanation:

Let there be m tons of sand on the beach initially.

Throughout the day, 1200 tons of sand is added to the mound. So, total sand becomes = [tex]m+1200[/tex]

Two dump trucks come in and take 800 tons of sand each from the mound.

Means they took [tex]800\times2=1600[/tex] tons of sand

At the end of the day, the mound has 2,400 tons of sand.

This can be modeled as:

[tex]m+1200-1600=2400[/tex]

Solving for m:

[tex]m-400=2400[/tex]

[tex]=> m=2400+400[/tex]

m = 2800

Hence, there was 2800 tons of sand in the mound initially.

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