college algebra word problem

A goldsmith has two alloys that are different purities of gold. The first is 3/4 pure and the second is 5/12 pure. How many ounces of each should be melted and mixed in order to obtain a 6 oz mixture that is 2/3 pure gold?

  1. 👍
  2. 👎
  3. 👁
  1. solve
    (3/4)x + (5/12)(6-x) = (2/3)(6) ,each term times 12

    9x + 5(6-x) = 48

    1. 👍
    2. 👎
  2. Since there are different quantities of each purity wouldn't there be an x and a y in the equation instead of both being x?

    1. 👍
    2. 👎
  3. Ok,
    x + y = 6 ----> y = 6-x

    (3/4)x + (5/12)y = (2/3)(6)

    sub in the value of y


    1. 👍
    2. 👎
  4. oooh. okay! thanks!

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Chemistry

    What is the mass, in grams, of a pure gold cube that has a volume of 3.00 cm3?

  2. English

    Which accurately describes the experience of gold seeker traveling to the Klondike? a. most gold seekers travel the whole distance by water b. about half of the gold seekers complete the journey to the Klondike*** c. all gold

  3. Physiology

    Pure gold has a density of 19 g/ml. If you bought a gold ring and found it had a volume of 0.3 ml and it weighed 5.7 grams, is it real gold? Show me your calculation

  4. Chemistry 101

    if 95j of heat is added to a pure gold coin with a mass of 16 grams, what is its temperature change? Specific heat capacity of gold is 0.128 j/g degrees C.

  1. Chemistry

    The relative amount of gold in an alloy is commonly expressed in units of carats. Pure gold is 24 carats, and the percentage of gold in an alloy is given as a percentage of this value. For example, an alloy that is 50 percent gold

  2. Physical Science

    Does this answer look correct? How many gold atoms are in a 1 kg gold bar? The chemical symbol of gold is Au. Consult The Periodic Table in Figure 11.9 on p. 216 in the textbook. Hint: Remember 1u=1.66x10-27kg. 1 mole= 6.022x1023,

  3. physics2 lab

    a 50 g bracelet is suspected of being gold plated lead instead of pure gold.when it is dropped into a full glass of water,4cm of water the bracelet pure gold?if not,what proportions of its mass is gold?determine also

  4. algebra

    A goldsmith has two gold alloys. The first alloy is 30% gold; the second alloy is 80% gold. How many grams of each should be mixed to produce 10 grams of an alloy that is 40% gold? amount of 30% gold ___ g amount of 80% gold ___ g

  1. physics

    According to legend, to determine whether the king's crown was made of pure gold, Archimedes measured the crown's volume by determining how much water it displaced. The density of gold is 19.3 g/cm^3. If the crown's mass was 6.00

  2. Chemistry 101

    If gold sells today for 1625 per ounce, and a large mining truck hauls 400 tons of gold ore, what is the value of the gold in each truck if each ton of gold ore contains 1.0 ounces of gold? Use dimensional analysis.

  3. chem

    How many gold atoms are in an 0.408 ounce, 18 gold bracelet? (18 gold is 75% gold by mass.)

  4. Math

    The amounts by weight of gold, silver and lead in three alloys of these metals are in the ratio 1:5:3 in the first alloy, 2:3:4 in the second and 5:2:2 in the third. How many kg of the first alloy must be used to obtain 10kg of an

You can view more similar questions or ask a new question.