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Helga [31]
4 years ago
6

julie buys 2kg of apples and 7kg of pears £12.70. the pears cost £1.30 per kilogram what is the price per kilogram of the apples

? show your working out
Mathematics
2 answers:
Natali [406]4 years ago
8 0

Answer:

£1.80 is the price per kilogram of the apples

Step-by-step explanation:

Here, x represents the number of apples per kilogram  and y represents the number of pears per kilogram.

As per the statement:

Julie buys 2kg of apples and 7kg of pears £12.70.

⇒2x+7y = 12.70          ....[1]

It is also given that the pears cost £1.30 per kilogram

⇒y =£1.30

Substitute in [1] we have;

⇒2x+7 \cdot 1.30 = 12.70  

⇒2x+9.10= 12.70  

Subtract 9.10 from both sides we have;

⇒2x= 3.60  

Divide both sides we have;

x =£1.80

Therefore, £1.80 is the price per kilogram of the apples

Maru [420]4 years ago
4 0
1.44 per kg

take 1.3 x 2, then subtract 12.7, finally divide that by 7
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Type the correct answer in each box. Use numerals instead of words.
stira [4]

The system of equations when been placed in a matrix yields

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

y = 650x + 175 and;

y = 25080 - 120x

Rearranging the equations gives:

650x - y = -175 and;

120x + y = 25080

Placing the equations in a matrix gives:

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

The system of equations when been placed in a matrix yields

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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