Question

A display has 66 packs of marbles with a total mass of 629 g. The packaging of each pack has a mass of 2/3 g, and each marble has a mass of 1/2 g. Which equation can be used to determine m, the number of marbles per pack?

a) 6 * (4/2 * m + 2/3) = 629

b) 6m * (4/2 + 2/3) = 629

c) 6m + 4/2 + 2/3 = 629

d) 6 * (4/2 * m + 2/3) = 629

Answer 1

The equation that can be used to determine the number of marbles per pack is 6 * (4/2 * m + 2/3) = 629.

Step-by-step explanation:

To determine the number of marbles per pack, we can use the equation 6 * (4/2 * m + 2/3) = 629.

First, we simplify the equation by multiplying and adding the fractions: 12m + 4/3 = 629.

Then, we isolate the variable by subtracting 4/3 from both sides: 12m = 629 - 4/3.

Finally, we divide both sides by 12 to solve for m: m = (629 - 4/3) / 12.