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Kobotan [32]
3 years ago
14

Janice is thinking of two numbers. She says that two times the first number plus the second number is 41. In​ addition, the firs

t number plus three times the second number is 73. Find the numbers
Mathematics
1 answer:
Rudiy273 years ago
7 0
Let one of the number be x and the other be y

<span>two times the first number plus the second number is 41
</span>2x + y = 41

<span>the first number plus three times the second number is 73
x + 3y = 73

</span>2x + y = 41 --------- (1)
x + 3y = 73 --------- (2)

From (1):
2x + y = 41
y = 41 - 2x ------- sub into (2)
x + 3(41-2x) = 73
x + 123 - 6x = 73
x -6x = 73 - 123
-5x = -50
x = 10 -------- sub into (1)
2 (10) + y = 41
20 + y = 41
y = 41 - 20
y = 21

Ans: x = 10, y = 21
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Sara has 24 sweets
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<h2>Hello!</h2>

The answer is:

The expression for the number of sweets that Sara and Tim have now, are:

Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}

<h2>Why?</h2>

To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:

Sara starts with 24 sweets and Tim starts with 24 sweets

Sara=24 Sweets\\Tim=24 Sweets

Then, Sara gives Tim x Sweets

Sara=(24-x)Sweets\\Tim=(24+x)Sweets

Then. Sara eats 7 of her Sweets

Sara=(24-x-7) Sweets\\Sara=(17-x )Sweets\\Tim=(24+x) Sweets

Then, Tim eats half of his sweets

Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}

So, the expression for the number of sweets that Sara and Tim have now, are:

Sara=(17-x) Sweets\\\\Tim=\frac{(24+x)Sweets}{2}

Have a nice day!

8 0
3 years ago
On Sunday, a local hamburger shop sold a combined total of 428 hamburgers and cheeseburgers. The number of cheese burgers sold w
melisa1 [442]
The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers 
you solve for x and get 4x= 428 and x=107

so 321 hamburgers were sold that day.
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3 years ago
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