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amm1812
3 years ago
7

Mr. Johnson bought 22 cupcakes and 30 drinks for his class. Ms. Richards bought 30 cupcakes and 35 drinks for her class. Mr. Joh

nson spent $44.40 and Ms. Richards spent $53.75.
How much does a cupcake cost?
$
How much does a drink cost?
$
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0
Cupcakes =c
Drinks = d
22 c + 30d = $44.40...eqn 1
30c + 35d = $53.75...eqn 2
Multiply eqn 1 by 7 and eqn 2 by 6
154c +210d =$310.80...eqn 3
180c+ 210d = $322.5...eqn 4
Eqn 4 - eqn 3
26 c = $11.70
C = 11.7/26 = 45c
Subst c = 45c in eqn 1
$9.90 + 30d =$44.40
d = ($44.40-$9.90)/30 = $1.15
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melamori03 [73]

Answer:

3.43 hours

Step-by-step explanation:

A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day guard duty equally. How long will each knight spend on guard duty in one day?

From the above question:

7 knights = 24 hours

1 knight = x hours

Cross Multiply

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5 0
3 years ago
the product of two numbers is 7904, and the absolute value of one of the numbers is 247. Find two possible solutions for the oth
Nina [5.8K]

Two Possible solutions for the other number are -32 and 32.

<h3>What are absolute value of a number?</h3>

Absolute value describes the distance from zero that a number is on the number line, without considering direction.

Overall, To find the absolute value of a number :

Let we have any number n ( it can be positive/negative ).

so, Absolute value of 'n' will be | n | (mod of n) , means we have to take positive value of the given number.

For example: | -3 | = 3

| 4 | = 4

| -1000 | = 1000

Now, For absolute value -

For example: Absolute value of 29 is 29.

Absolute value of -56 is 56.

Absolute value of -1000 is 1000.

We have given the product of two numbers is 7904.

Let say we have number 'a' and 'b'.

so, here : a x b = 7904.        ------------ ( i )

The absolute value of one of the numbers is 247.

Let Absolute value of 'a' = 247

So the number 'a' can be either 247 or -247.

because absolute value of 247 is 247 and also absolute value of -247 is 247.

using equation ( i )

a x b = 7904

b = 7904 / a.

when a = 247

b =  32

when a = -247

b = - 32

Hence, Two Possible solutions for the other number are -32 and 32.

Learn more about "Absolute Values" from here: brainly.com/question/1301718

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