1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vodka [1.7K]
3 years ago
12

6. Bons grocer wishes to mix some nuts worth 90 cents per pound with some nuts worth $1.60 per pound to make 175 pounds of a mix

ture that is worth $1.30 per pound. How much of each should she use? Include your equation. *
Mathematics
2 answers:
Ivenika [448]3 years ago
7 0

Answer:

75 pounds and 100 pounds.

Step-by-step explanation:

Given:

Bons grocer wishes to mix some nuts worth 90 cents( $0.9) per pound with some nuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound.

Question asked:

How much of each should she use?

Solution:

Let there are two types of nuts mixed in the mixture, one is nut A and another is nut B.

As we know:

1 cent = $0.01

90 cents = $0.01 \times 90 = $0.9

Let quantity of nut A mixed = x\ pound

Quantity of nut B mixed = 175-x\ pound

Total quantity of mixture = 175 pounds

Total cost of mixture = Cost per pound \times Total quantity of mixture in pound

                                  = $1.30 \times 175 = $227.5

As mixture is prepared by mixing two types of nuts:-

Cost per pound of nut A \times Quantity mixed + Cost per pound of nut B

0.9x+1.60(175-x)=227.5\\0.9x+280-1.60x=227.5\\-0.7x+280=227.5\\

By subtracting both sides by 280

-0.7x=-52.5

Minus canceled by minus

0.7x=52.5\\Dividing\ both\ sides\ by\ 0.7\\x=75\ pound

Substituting the value:-

Quantity of nut A mixed = x\ pound = 75 pounds

Quantity of nut B mixed = 175-x\ pound= 175 - 75 = 100 pounds

Therefore, Bons grocer wishes to mix<u> 75 pounds of nuts worth 90 cents</u> ($0.9) with <u>100 pounds of some nuts worth $1.60 </u>per pound to make  175 pounds of a mixture that is worth $1.30 per pound.

Licemer1 [7]3 years ago
6 0

Answer:

The quantity of first mixture = x  = 75 pounds

The quantity of second mixture = 175 - x  = 175 - 75 = 100 pounds

Step-by-step explanation:

Total quantity of mixture = 175 pounds

Let quantity of first mixture = x

Quantity of second mixture = 175 - x

From the given information

x (0.9) + (175 - x) × 1.6 = 175 × 1.3

By solving above equation we get

0.9 x + 280 - 1.6 x = 227.5

0.7 x = 52.5

x = 75 pounds

Thus the quantity of first mixture = x  = 75 pounds

The quantity of second mixture = 175 - x  = 175 - 75 = 100 pounds

You might be interested in
Investments are different from savings accounts in that they _____.
Natalija [7]
The answer is letter D.

Investments are different from savings accounts in that they offer high profit potential. However, investments also carry larger risks.

<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.</span>

8 0
3 years ago
Read 2 more answers
Ryan surveyed parents. He found 3 out of every 5 parents vote. 450 parents eligible. How many parents will vote in the election?
Dafna1 [17]
The answer is 150 parents. Because 450/3=150
4 0
3 years ago
If two polygons are SIMILAR, then the corresponding sides must be and the corresponding angles must be .
AveGali [126]

Answer:

Their sides must be in the same ratio and their angles must be equal.

Step-by-step explanation:

If two polygons are similar their sides must be in the same ratio and their angles must be equal.

e. g. -

If ABCDEF  and GHIJKL be the two polygons,

then,

\frac{AB}{GH} = \frac{BC}{HI} = \frac{CD}{IJ} = \frac {DE}{JK} = \frac {EF}{KL} = \frac{FA}{LG}

and,

∠ABC = ∠GHI ; ∠BCD =∠HIJ ; ∠CDE = ∠IJK ; ∠DEF =∠JKL ; ∠EFA =∠KLG;

∠FAB = ∠LGH .

5 0
3 years ago
There are 7 colors on a color wheel . you have 25 spins to get blue. after 24 spins, you have not been successful . what is the
nadya68 [22]
B) 1/7 because no matter how many times you spin the odds are always 1 out of all 7 of the colors
7 0
3 years ago
What is the difference between 0.05, 0.5, and 0.50​
AfilCa [17]

Answer:5/100, 5/10, 50/100

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Help Please I need help with everything shown on this page
    7·1 answer
  • The distance between the elementary school and the middle school is 4 miles. On the map, the two locations are 1/2 inch apart. W
    14·2 answers
  • Factor completely: 4x + 12x2 + x + 3
    15·1 answer
  • Solve the system of equation y=-3/2x-2 and 2x+y=4
    13·2 answers
  • lamar paid $93 for a bicycle that was on sale for 60% if its original price. What was the original price of the bicycle?
    11·2 answers
  • 5/8 + 3/4 / -2/3- 5/6.
    10·2 answers
  • Help Me Please
    7·1 answer
  • Yesterday, there were 40 problems assigned for math homework. Gavin got 28 out of 40 problems correct. What percentage did Gavin
    9·2 answers
  • What is the equation of a line parallel to 3 x plus 4 equal y and passing through open parentheses 4 comma space minus 2 close p
    5·1 answer
  • Will give brainliest need awnser urgently!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!