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topjm [15]
2 years ago
9

Alex found a new black bean soup recipe that calls for tomatoes and black beans. If tomatoes cost $1.60 per pound and black bean

s cost $1.70 per
pound and the recipe calls for 3 times as many pounds of black beans as tomatoes, at most how many pounds of tomatoes can he buy if he only
has $26.80?
Mathematics
1 answer:
djverab [1.8K]2 years ago
7 0

Alex can buy at most 4 pounds of tomatoes

Let:

a represent pounds of tomatoes to buy

3a represent pounds of black beans to buy

Total cost of each ingredient that can be bought = number of pounds x price per pound

Tomatoes = a x $1.60 = 1.60a

Black beans = 3a x $1.70 = 5.1a

1.60a + 5.1a = 26.80

Add similar terms

6.7a = 26.80

Divide both sides of the equation by 6.7

a = 4 pounds

A similar question was solved here: brainly.com/question/848628?referrer=searchResults

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sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60 : 36 by 1 . Is Sophia c
guapka [62]

Answer:

No multiplying both quantities in the ratio 60 : 36 by 1  would not give the answer .

But multiplying both quantities in the ratio 60 : 36 by 1/6  would solve it.

Step-by-step explanation:

Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .

If it is multiplied with a fraction like 1/6  that would give the correct answer.

Multiplying it with 1/6 reduces the ratio and gives a better estimate.

A:B

60:36

60*1/6: 36*1/6

10: 6

Meaning that for a total of 16 there are 10 of category A and 6 of category B.

But if we do the same procedure with the answer is same which does not solve the question.

A:B

60:36

60*1: 36*1

60: 36

4 0
2 years ago
It takes Evan 6 3/4 hours to mow 3 lawns. it takes him 2 1/3 hours to mow Mr. Smiths yard and 1 3/4 hours to mow Ms. Lee's yard.
Ratling [72]

Answer: 2\frac{2}{3}\ hours

Step-by-step explanation:

Given: The total time taken by Evan to mow the 3 lawns = 6\frac{3}{4}=\frac{27}{4}\ \text{hours}

Time taken by Evan to mow the first lawn =2\frac{1}{3}=\frac{7}{3}\ \text{hours}

Time taken by Evan to mow the second lawn =1\frac{3}{4}=\frac{7}{4}\ \text{hours}

Now,Time taken by Evan to mow the third lawn =\frac{27}{4}-\frac{7}{3}-\frac{7}{4}

⇒Time taken by Evan to mow the third lawn =\frac{81-28-21}{12}

⇒Time taken by Evan to mow the third lawn =\frac{32}{12}=\frac{8}{3}=2\frac{2}{3}\ hours

Hence, the time taken by Evan to mow the third lawn = 2\frac{2}{3}\ hours

7 0
2 years ago
How to I solve this please help!!! I will give Brainliest.
worty [1.4K]

Answer:

x is 35

Step-by-step explanation:

First do 180 -40 and get 140. Then add 3x plus x to get 4x because they are the same value/ Do 140/ 4x and get 35. X equals 35.

8 0
2 years ago
Read 2 more answers
Find the missing length of the triangle.<br> 7.8 ft<br> b<br> 17.8 ft
riadik2000 [5.3K]
What is the perimeter?
4 0
2 years ago
Share 747 pounds in the ratio 2:7 between tom and ben
svlad2 [7]
2x+7x=747
9x=747
x=83

83(2) = 166
83(7) = 581
6 0
2 years ago
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