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14 votes
You are working for a catering company and have

$500 to buy supplies.
Give the range of the number of bottles of water you
can buy at $1.20 a piece and still have at least $350
left over for other supplies.

User Kazbeel
by
5.4k points

2 Answers

6 votes

Answer:

0 to 125 bottles

Explanation:

because you have $500 dollars, and you want to have $350 dollars [at least] left over, you can only spend $150 [500 - 350 = 150] dollars.

if we can spend up to $150 dollars, there is a large range of numbers of bottles that would meet the situation.

(multiplied by 1.20 because that is the price of 1 bottle. You are finding how many "1.20s" go into a certain number--150. )

If you buy 0 bottles, you will be spending

1.20 × 0 = 0

0 dollars

If you spend 30 bottles, you will be spending

1.20 × 30 = 36

36 dollars

So, how many bottles can we possibly buy?

To find this number, we can work backwards from our equation

(our equation is 1.20 × number of bottles)

I will be writing "number of bottles" as "x"

We know that 1.20 · x ≤ 150

(≤ means less than or equal to. we can spend less than 150 dollars, or we can spend 150 dollars exactly)

So, we can divide both sides of our equation by 1.20 to find the number of bottles [x] fit into 150.

1.20 · x ≤ 150

÷1.20 ÷1.20

x ≤ 125

So, we can buy 0 to 125 bottles of water {to have at least 350 dollars left over}

13 votes

Explanation:

500-350=150, you have 150 to buy bottles with

150÷1.20=125

you can buy 125 bottles with 350 left over

User Notoya
by
4.8k points