Question

A small bag of chips weighs 48 grams. A large bag of chips weighs three times as much as the small bag. How much will 7 large bags of chips weigh?

Answer 1

Seven large bags of chips will weigh 1,008 grams.

Explanation:

Let's let "a" equal the weight of a small bag of chips, so:

a = 48

Next, let's let "b" equal the weight of a large bag of chips, and since it is three times the weight of the small bag of chips, we would write an equation that would be:

b = 3a

Let "c" be equal to the total weight of seven bags of chips, so it would be the product of 7 and "b". Therefore, we would write another equation:

c = 7b

Since "b" is equal to 3a, we can replace it with 3a in the equation, so:

c = 7(3a)

Since "a" is 48, we can plug in 48 for "a" in that equation, so:

c = 7(3(48))

Multiply and:

c = 1008

So the weight of seven large bags of chips is 1,008 grams.

Answer 2

`7` large bags of chips weigh`1008 g`

Explanation:

The small bag `b` weighs `48g`

The large bag `B` weighs `Bg` where `Bg = 3bg`

To solve for `Bg = 3bg` we substitute `b = 48g` into `Bg = 3bg`:

`Bg = 3(48g) = 144g` for each large bag.

But now they have `7` bags, so the total weight is `7Bg`.

That is: `7Bg = 7(144g) = 1008g`