# math

Your making maple syrup. You mix 5 cent and 25 cent maple syrup. You make 128 ounces that cost 18 cents an ounce. You much of each maple syrup ws required?

1. 👍 0
2. 👎 0
3. 👁 89
1. Suppose you're using C ounces of Cheap and E ounces of Expensive syrup. Then:
C + E = 128
5C + 25E = 18 x 128

Multiply the first equation by 5, and you'll get:
5C + 5E = 5 x 128

so:
(5C + 25E) - (5C + 5E) = 20E = (18-5) x 128 = 13 x 128
so E = 13 x 128 / 20 = 83.2
so C = 128 - 83.2 = 44.8

Check it: C costs 5 cents/ounce and E costs 25 cents/ounce, so the total cost is:
(5 x 44.8) + (25 x 83.2) = 2304 cents, and the total amount of syrup is 44.8+83.2=128 ounces, so the cost is 2304 cents divided by 128 ounces = 18 cents per ounce.

1. 👍 0
2. 👎 0
posted by David Q

## Similar Questions

1. ### math..HELP!

Can someone check over these math problems that I did? Please? 1. The bloodhound, a type of dog, has 4.0 X 10^9 (10 to the ninth power) scent receptors in its nose. A human has 1.2 X 10^7 scent receptors. How many times more scent

asked by skye on February 25, 2008
2. ### MAth

Can someone check over these math problems that I did? Please? 1. The bloodhound, a type of dog, has 4.0 X 10^9 (10 to the ninth power) scent receptors in its nose. A human has 1.2 X 10^7 scent receptors. How many times more scent

asked by skye on February 25, 2008
3. ### math

An orchard produces 720 liters of maple syrup per year. How many kiloliters of maple syrup does the orchard produce in a year?

asked by josselin on March 1, 2017
4. ### math

An orchard produces 720 liters of maple syrup per year. How many kiloliters of maple syrup does the orchard produce in a year?

asked by carol on March 1, 2017

Canada Honey (IN tons)/ Maple (in tons) 0 60 10 45 20 30 30 15 40 0 United States Honey (in tons)/ Maple (in tons) 0 50 10 40 20 30 30 20 40 10 50 0 the question is who has a comparative advantage in producing maple syrup and who

asked by jamma on September 23, 2012
6. ### math

Bell and Eva are sharing 1600 ml of maple syrup. Eva receives 3/5 of the amount received by Bell minus 40 ml. How many milliliters of maple syrup do each of them receive? Bell: ( 1600 + ___)* ___/___= ____ Eva : ( 1600 + ___)*

asked by help on May 31, 2008
7. ### Algebra 2

Ordinary corn syrup contains dextrose sugar. A process called enzyme conversion changes it into a syrup that is 42% fructose. This new syrup can be further treated with fractionation columns to make a syrup that is 95% fructose

asked by Anonymous on February 13, 2014
8. ### Algebra

Ozark furniture company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple and a modern rocker requires 12 board feet

asked by Tracy on October 21, 2013
9. ### STUDY UNIT: MAIN IDEAS

In comparing an oak tree with a maple tree, you can correctly say that A. oak is often used to make ships, while maple is often used for furniture. B. both maple and oak trees lose their leaves in the fall. C. acorns are good to

asked by Anonymous on December 12, 2010
10. ### english

In comparing an oak tree with a maple tree, you can correctly say that A. oak is often used to make ships, while maple is often used for furniture. B. both maple and oak trees lose their leaves in the fall. C. acorns are good to

asked by sof on March 12, 2011

More Similar Questions