# 1.1a numeric reasoning

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1.1A Numeric Reasoning. Read and highlight. Mike and Huia are planning to travel to England for a holiday. They plan to be in England for 3 months, and during that time take a 3 week bus tour through France and Spain. Read and highlight. - PowerPoint PPT Presentation

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1.1A Numeric ReasoningRead and highlightMike and Huia are planning to travel to England for a holiday. They plan to be in England for 3 months, and during that time take a 3 week bus tour through France and Spain.

Read and highlightMike and Huia are planning to travel to England for a holiday. They plan to be in England for 3 months, and during that time take a 3 week bus tour through France and Spain.

This assessment activity requires you to calculate the amount of money they will need to save for their trip, and how long it will take for them to save it.

This assessment activity requires you to calculate the amount of money they will need to save for their trip, and how long it will take for them to save it.

Use the following information to find out how much money they will need to save, and how long it will take them to save this amount.

In the solution of this problem you should:Show calculations, as appropriate, that you have used in the solution of the problem;Use mathematical statements;Explain what you are calculating at each stage of the solution.

The quality of your discussion and reasoning and how well you link this to the context will determine the overall grade.

Do the expenses firstThey estimate for each day they are in England, between them they will need on average NZ\$240 (to the nearest \$20) when they are not on the bus trip.

Number of daysThey estimate for each day they are in England, between them they will need on average NZ\$240 (to the nearest \$20) when they are not on the bus trip.

3 months estimate 92 daysMinus bus trip (21 days)Total number of days = 71Cost = 240 x 71 = \$17,040

The cost for the return air tickets is \$2500, plus GST (15%), each.

The cost for the return air tickets is \$2500, plus GST (15%), each.

The 3 week bus trip costs 2000 Great Britain pounds per person.Great Britain pounds are used as currency in England. The Exchange rate is: 1 NZ Dollar = 0.4931 GB Pound (January 2011).

The 3 week bus trip costs 2000 Great Britain pounds per person.Great Britain pounds are used as currency in England. The Exchange rate is: 1 NZ Dollar = 0.4931 GB Pound (January 2011).

Total CostThis figure should be rounded sensibly

Now work on how longHuia earns \$850 each week. Mike earns \$790 each week. Huia is able to save 2/5 of her income, and Mike 35% of his income to put towards their saving for the trip.

Savings per weekHuia earns \$850 each week. Mike earns \$790 each week. Huia is able to save 2/5 of her income, and Mike 35% of his income to put towards their saving for the trip.

Make a comment that some weeks they may be able to save more than this and other weeks less than this.Estimate of the number of weeks to save for the tripRough calculation:

ConclusionIt will take over a year to save for this trip as they will need money for insurance and spending money as well.Points to think about and discussRounding sensibly - to the nearest \$20Additional spending on the bus tripVariation in the exchange rateThe variation in the number of days in three monthsThe fairness of them contributing different amounts to the saving for the trip

The interpretation of this question is open. Students may provide a solution that involves Huia and Mike saving for their holiday separately.Huia saves \$340Mike saves \$276.50It will take Mike longer if they are covering their own costs: