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8_murik_8 [283]
3 years ago
7

Sarah took the advertising deparſment from her company on a round trip to meet with a potential client. Including Sarah a total

of 11 people took the trip. She was
able to purchase coach tickets for $240 and first class tickets for $1100. She used her total budget for airfare for the trip, which was $6080. How many first class
tickets did she buy? How many coach tickets did she buy?
Mathematics
1 answer:
wlad13 [49]3 years ago
7 0

Answer:

Sarah bought 7 coach tickets and 4 first class tickets.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=11 (1)

240x+1100y=6080 (2), where:

x is the number of coach tickets

y is the number of first class tickets

In order to find the value of x and y, first you have to solve for x in (1):

x=11-y (3)

Now, you have to replace (3) in (2) and solve for y:

240(11-y)+1100y=6080

2640-240y+1100y=6080

860y=6080-2640

860y=3440

y=3440/860

y=4

Finally, you can replace the value of y in (3) to find the value of x:

x=11-y

x=11-4

x=7

According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.

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A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.8
erma4kov [3.2K]

Answer:

132 tiles

Step-by-step explanation:

Each tile cost $4

The adhesive/grouting material costs $17.82.

If the contractor pays a total of $545.82

Let the number of tiles be represented as x

The equation is represented as:

$17.82 + $4 × x = $545.82

17.82 + 4x = 545.82

Collect like terms

4x = 545.82 - 17.82

4x = 528

Divide bother sides by 4

4x/4 = 528/4

x = 132

The number of ceramic tiles the contractor bought = 132 tiles

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Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He not
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Answer:

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Step-by-step explanation:

Given that 1/4 bucket of nuts fills 2/3 of the barrel

PART A

<u>To find the amount of nuts that fills entire basket we can put this as:</u>

  • 1/4 bucket → 2/3 barrel
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<u>Use cross-multiplication to find the value of x:</u>

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