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Novosadov [1.4K]
3 years ago
12

a contractor crew can frame 3 houses in a week how long will it take them to frame 54 houses if they frame the same number each

week
Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0
To set up an equation for this you can use a variable to represent your unknown (in this case the unknown is how long it will take to frame 54 houses)

We know that 3 houses can be framed in 1 week so you can represent the equation as 

3x=54 (3 being the amount of houses framed in 1 week, x being how many weeks it will take to frame 54 houses)

You can isolate X by dividing both sides by 3 (3x/3 = 54/3) which simplifies to 
x = 54/3 
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There is a total of $39.55. There are 3 times as many dimes as nickels, how many of each coin type was collected ?
katovenus [111]

Number of dimes collected is 339 and number of nickels collected is 113

<em><u>Solution:</u></em>

Given that There is a total of $39.55

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To find: Number of dimes and nickels collected

Let "d" be the number of dimes collected

Let "n" be the number of nickels collected

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1 nickel = $ 0.05

From given information,

There are 3 times as many dimes as nickels

So, we get

Number of dimes = 3(number of nickels)

d = 3n

Given that there is total of $ 39.55

number of dimes collected x value of 1 dime + number of nickels collected x value of 1 nickel =  $ 39.55

3n \times 0.10 + n \times 0.05 = 39.55\\\\0.3n + 0.05n = 39.55\\\\0.35n = 39.55\\\\n = \frac{39.55}{0.35}\\\\n = 113

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d = 3(113) = 339

<em><u>Summarizing the results:</u></em>

number of dimes collected = 339

number of nickels collected = 113

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