sleepy78
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The masses of all of the Roman coins in a museum are recorded in the histogram below.

144 of the coins each weigh between 8 g and 17 g.

Work out how many Roman coins are in the museum's collection in total.

Please add workings if possible

The masses of all of the Roman coins in a museum are recorded in the histogram below 144 of the coins each weigh between 8 g and 17 g Work out how many Roman co class=


Answer :

Answer:

Total coins = 424 coins

Step-by-step explanation:

In histogram, the area of each bar should be proportional to the data. Therefore, we can find the total number of Roman coins by comparing its area with the area of 8 g to 17 g.

[tex]total\ area=(5-0)(2)+(8-5)(20)+(17-8)(8)+(22-17)(14)[/tex]

                [tex]=212[/tex]

[tex]area\ of\ 8\ to\ 17\ g=(17-8)(8)[/tex]

                           [tex]=72[/tex]

[tex]total\ area:area\ of\ 8\ to\ 17\ g=total\ coins:coins\ of\ 8\ to\ 17\ g[/tex]

                                 [tex]212:72=total\ coins:144[/tex]

                            [tex]total\ coins=212\times144\div72[/tex]

                            [tex]\bf total\ coins=424\ coins[/tex]