How do I set up this algebra word problem?

best new infant toys image

Stephanie

Three of the highest grossing toy categories in 2005 were infant toys, dolls, and games. Together they had gross sales of $8.2 billion. Total sales of dolls and games together were $2 billion more than sales of infant toys. Sales of games were $0.3 billion less than doll sales. Find the amount of sales of each type of toy.

I need to know how to set up the problem.

Answer
Stephanie...keep it simple, use obvious letters to replace words.

t + d + g = 8.2.....(1)

d + g = t + 2........(2)

g = d - 0.3...........(3)

Eliminating d's and g's by subtraction in equation 1 and 2 gives

t = -t + 8.2 - 2

t + t = 8.2 - 2

2t = 6.2

t = 3.1

Putting t back into equation 1 gives

3.1 + d + g = 8.2

d + g = 8.2 - 3.1

d + g = 5.1

Putting t back into equation 2 gives

d + g = 3.1 + 2

d + g = 5.1..............which is the same equation as 1

Now, looking at equation 3

g = d - 0.3

So, g - d = -0.3

d - g = 0.3

Now we have 2 equations in 2 unknowns

Adding gives 2d = 5.4

d = 2.7

Putting d back into either one of these gives

g = 2.4

Toys = $3.1 billion

Games = $2.4 billion

Dolls = $2.7 billion

Hope this helps.

:)>

is it me or do some infant toys look oddly familiar to dog toys?

bizzurke

some of my sons toys look exactly like dog toys. its kind of odd to me lol. these are toys that have been given to me though, i wouldnt buy him something that looks like it could be for a dog.

has anybody else noticed this though?
and how do you keep the dog from getting your infants toys when he/she is playing on the floor?

Answer
Yes a lot of them are practically interchangeable. Another thing that I think is funny is that both dogs and babies are greatly rewarded for learning to roll over. It strikes me as funny when I am cheering for my son to roll over.

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