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The table shows the number of watches, rings, and brooches sold by a shop each day for a week. a) How many articles were sold in the week? b) On which day were the most articles sold? c) How many more

Mathematics

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5 parts
a

103 articles\text{103 articles}

b

Saturday\text{Saturday}

c

34 rings and brooches\text{34 rings and brooches}

d

Rings\text{Rings}

e

Monday\text{Monday}

Step-by-step solution

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Thanks for sending the image again with the clearer view of the table! Now I can answer Question 7.

Here are the solutions based on the provided table:

Part 7

Part a

103 articles\text{103 articles}

How many articles were sold in the week?

  1. Calculate the total number of watches sold.

    Total Watches=2+4+7+5+7+8=33\text{Total Watches} = 2 + 4 + 7 + 5 + 7 + 8 = 33

  2. Calculate the total number of rings sold.

    Total Rings=3+7+2+8+9+10=39\text{Total Rings} = 3 + 7 + 2 + 8 + 9 + 10 = 39

  3. Calculate the total number of brooches sold.

    Total Brooches=2+5+3+6+8+7=31\text{Total Brooches} = 2 + 5 + 3 + 6 + 8 + 7 = 31

  4. Sum the totals for all articles.

    Total Articles=33+39+31=103\text{Total Articles} = 33 + 39 + 31 = 103

    A total of 103 articles\boxed{\text{103 articles}} were sold in the week.

Part b

Saturday\text{Saturday}

On which day were the most articles sold?

  1. Calculate the total articles sold for each day.

    Monday=2(W)+3(R)+2(B)=7\text{Monday} = 2 (\text{W}) + 3 (\text{R}) + 2 (\text{B}) = 7 Tuesday=4(W)+7(R)+5(B)=16\text{Tuesday} = 4 (\text{W}) + 7 (\text{R}) + 5 (\text{B}) = 16 Wednesday=7(W)+2(R)+3(B)=12\text{Wednesday} = 7 (\text{W}) + 2 (\text{R}) + 3 (\text{B}) = 12 Thursday=5(W)+8(R)+6(B)=19\text{Thursday} = 5 (\text{W}) + 8 (\text{R}) + 6 (\text{B}) = 19 Friday=7(W)+9(R)+8(B)=24\text{Friday} = 7 (\text{W}) + 9 (\text{R}) + 8 (\text{B}) = 24 Saturday=8(W)+10(R)+7(B)=25\text{Saturday} = 8 (\text{W}) + 10 (\text{R}) + 7 (\text{B}) = 25

  2. Identify the day with the highest total.

    The highest total is 25, which occurred on Saturday.
    The most articles were sold on Saturday\boxed{\text{Saturday}}.

Part c

34 rings and brooches\text{34 rings and brooches}

How many rings and brooches were sold on Friday and Saturday?

  1. Find the number of rings sold on Friday and Saturday.

    Rings (Friday)=9\text{Rings (Friday)} = 9 Rings (Saturday)=10\text{Rings (Saturday)} = 10

  2. Find the number of brooches sold on Friday and Saturday.

    Brooches (Friday)=8\text{Brooches (Friday)} = 8 Brooches (Saturday)=7\text{Brooches (Saturday)} = 7

  3. Sum these values.

    \text{Total Rings and Brooches (Friday & Saturday)} = 9 + 10 + 8 + 7 = 34

    A total of 34 rings and brooches\boxed{\text{34 rings and brooches}} were sold on Friday and Saturday.

Part d

Rings\text{Rings}

Which were sold most in the week: rings, brooches or watches?

  1. Recall the total sales for each type of article from part (a).

    Total Watches=33\text{Total Watches} = 33 Total Rings=39\text{Total Rings} = 39 Total Brooches=31\text{Total Brooches} = 31

  2. Compare the totals.

    The highest total is 39, which corresponds to rings.
    Rings\boxed{\text{Rings}} were sold most in the week.

Part e

Monday\text{Monday}

When were the fewest articles sold?

  1. Recall the total articles sold for each day from part (b).

    Monday=7\text{Monday} = 7 Tuesday=16\text{Tuesday} = 16 Wednesday=12\text{Wednesday} = 12 Thursday=19\text{Thursday} = 19 Friday=24\text{Friday} = 24 Saturday=25\text{Saturday} = 25

  2. Identify the day with the lowest total.

    The lowest total is 7, which occurred on Monday.
    The fewest articles were sold on Monday\boxed{\text{Monday}}.

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