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2 years ago

Pip and Sara win some money and share it in the ratio 5:4. Pip gets £50. How much did they win in total?

Mathematics

2 answers:

Mumz [18]2 years ago

8 0

Answer:

Step-by-step explanation:

Write the ratio this way

Pip: Sara: Total

5 : 4 : 9

We multiply each by 10 to get Pip to 50 (5*10 = 50)

5*10: 4*10: 9*10

50 : 40 : 90

Ugo [173]2 years ago

7 0

Answer:

$90

Step-by-step explanation:

Given that the ratio of Pip: Sara is 5:4

This means :

Pip gets 5 parts

Sara gets 4 parts

Together they have 5 + 4 parts = 9 parts

Also given that Pip's 5 parts is equivalent to $50

Hence each 1 part is $50/5 = $10

if 1 part = $10

The total 9 parts = 9 x $10 = $90

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matrenka [14]

Answer:

1) The system of equations is $5x+4y=75$ and $x+y=18$

2) The first number is $3$ and the second number is $15$

Step-by-step explanation:

1) Let be "x" the first number and "y" the second number.

Remember that:

a- The word "times" indicates multiplication.

b- A sum is the result of an addition.

c- "Is" indicates this sign: $=$

Then, the sum of 5 times "x" and 4 times "y" is 75, can written as:

$5x+4y=75$

And "The sum of the two numbers is 18" can written as:

$x+y=18$

Therefore, the System of equations is:

$\left \{ {{5x+4y=75} \atop {x+y=18}} \right.$

2) You can use the Elimination Method to solve it:

- Multiply the second equation by -5, add the equations and then solve for "y":

$\left \{ {{5x+4y=75} \atop {-5x-5y=-90}} \right.\\......................\\-y=-15\\\\y=15$

- Substitute the value of "y" into any original equation and solve for "x":

$x+15=18\\\\x=18-15\\\\x=3$

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2 years ago

A candle maker has 4 1/2 pounds of clear wax. He wants to cut the wax into pieces that are 2/3 pound each. How many 2/3 pound pi

prisoha [69]

Answer:

a) 10 pieces of 2/3 pound can be made.

b) 0.54 pounds of wax is left over.

Step-by-step explanation:

Total amount of clear wax available = $4\frac{1}{2} = \frac{9}{2}$ pounds

So, the maker has in total 4.5 pounds of wax

Now, The weight of each piece = $\frac{2}{3} = 0.66$ pounds

To find the number of pieces that can be made out of 4.5 pounds of wax,

let that number = n

So, $n = \frac{\textrm{Total weight of the clear wax}}{\textrm{Weight of each wax}}$

or, n = $n = \frac{4.5}{0.66} = 6.81$

So, nearly 6 pieces can be made completely out of the clear wax

Left over amount of wax = Total weight - Weights of the pieces made

= 4.5- 6(0.66)

= 0.54 pounds

Hence, 0.54 pounds of wax is left over

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3 years ago

Barbara buys a box of pens for $4. For every additional box she buys, she gets a $1 discount. Which expression represents the to

Daniel [21]

Answer:

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3 years ago

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Aloiza [94]

Answer:

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Step-by-step explanation:

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