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pav-90 [236]
2 years ago
6

Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3

. How many sandwiches did Joel make in all?
Please answer using a bar model method!!
Mathematics
1 answer:
Ksenya-84 [330]2 years ago
8 0
So 2e:3t 3t+15=1e:3e so

2e:3t
3t+15
1e:3t
1e:3t=2e:6t
so 2e:6e
2e:3t+15=2e:6t
15=3t
t=5
2+3=5 units
5 times 5=25
he made 25 samiches in all
check
e:t=10:15=2:3
15+15=30
10:30=1:3
checks

he made 25 sammiches origonaly

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Naddik [55]
Answer: 460.6 miles South of Chicago

Explanation:

1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.

Scheme:


 →to south                                                    ←to north
                |----------------------|---------------------|
               A          x             X      930.0 - x    B
            6:00 am                                          6:00 am
           →                                                      ←
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=> x = 79.0 mi/h * t

2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The train travels the 930.0 miles to Chicago at an average speed of 81.1 miles per hour.

930.0 - x = 81.1 mi/h * t

3) How many miles south of chicago do the two trains pass each other?

Divide the two equations:

930.0 - x         81.1*t
------------- =   ----------
      x                 79*t

t cancels out =>

930.0 - x         81.1
------------- =   --------
     x                 79.0

Solve:

81.1x = 79.0(930.0 - x)

81.1x = 79.0 * 930.0 - 79.0x

81.1x + 79.0x = 73,470

=> 160.1x = 73,470

=> x = 73,470 / 160.1

=> x = 460.6 mi

4) Answer 460.6 miles South of Chicago.
</span>
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