Hey there,

Following pls find the worked solution,

C : P : L

3 : 2 --- (1)

5 1 --- (2)

Using Repeeated/Common Identity with C being common in these 2 ratios, C must have the same units (u) as the mass of C sold is the same.

Hence, common multiple of 5 and 3 is 15. We now have

(1)x5 and (2)x3.

C : P : L

15 : 10

15 3

Given that $9870 was collected from the sale of these 3 items, we have ...

<using Number x Value method>

(15u x 18) + (10u x 12.50) + (3u x 25) --> 9870

270u + 125u + 75u --> 9870

470u --> 9870

1u --> 21

Sale of P = 125u --> 125 x 21 = 2625

Sale of L = 75u --> 75 x 21 = 1575

Mass of P = 2625 ÷ 12.50 = 210 kg

Mass of L = 1575 ÷ 25 = 63 kg

Difference in mass ( P - L ) = 210 - 63 = 147 kg

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Trust the above helps.

Do not hesitate to clarify if necessary.

Cheers,

Edward