🍉 The box, the watermelon, and the strawberries

A closer look at one question · SMC 2024, Question 23 (bank id B8)

The total mass of a box and a watermelon was 7 kg 34 g. When some strawberries were added into the box, the total mass became 8600 g. The watermelon was 3 times as heavy as all the strawberries added. Find the mass of the box, in grams.

1 Watch the units — 7 kg 34 g is NOT 7340 g

7 kg 34 g means 7000 g plus 34 g — the 34 fills the ones and tens columns, not the hundreds. So the starting mass is 7034 g, not 7340 g.

2 The jump from 7034 g to 8600 g IS the strawberries

Before
box + watermelon — 7034 g
After
box + watermelon — 7034 gstrawberries

Strawberries = 8600 − 7034 = 1566 g.

3 The watermelon is 3× the strawberries

Watermelon
3 × 1566 = 4698 g

4 Box = what is left of the ORIGINAL total

7034 g
box?watermelon — 4698 g

Box = 7034 − 4698 = 2336 g.

2336 g

is the mass of the box.

The trap: reading 7 kg 34 g as 7340 g. It is 7000 + 34 = 7034 g — the 34 fills the ones and tens columns, not the hundreds.