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Kitty [74]
3 years ago
14

Jamie received £26 pocket money last week. He spent it as follows: 10% on sweets, 25% on magazines 15% on games How much did Jam

ie have left? Show your working
Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:

Total money left with Jamie = £13

Step-by-step explanation:

Jamie received pocket money = £26

He spent on sweets = 10% of total pocket money

Expense on magazines = 25% of the total money

Expense on games = 15% of the pocket money

Total expenditure on sweets, magazines and games = \frac{10}{100}+\frac{25}{100}+\frac{15}{100}

= \frac{50}{100} Or 50% of the pocket money he received

Therefore, money left with Jamie = 50% of total money he received as pocket money

= \frac{50}{100}\times 26

= £13

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vodka [1.7K]
Equation 1)  -x - y - z = -8
Equation 2)  -4x + 4y + 5z = 7
Equation 3)  2x + 2z = 4

Solving for three variables is quite similar to solving for two variables. Just like when solving for two variables, you look for like variables & solve them one-by-one. So, let's get started! :)

Multiply ALL of equation 1 by four.

1)  4(-x - y - z = -8)

Simplify.

1)  -4x - 4y - 4z = -32

Both equations 1 & 2 have the same three variables (x, y, z), so, we must look at these equations together.

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Add these equations together, and create a fourth equation.

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Multiply ALL of equation 4 by 2.

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Simplify.

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Divide both sides by 2.

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Simplify.

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Add 2 to both sides.

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Simplify.

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Divide both sides by -1.

y = 6

SO :

x = 3, y = 6, z = -1

~Hope I helped!~
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