Track / Stage 4 / 146 of 340 #406 of 1964

Problem 406

AMC 12 late, AIME early

Algebra Difficulty 4.8 Find the answer

## Task 4 - 040514

In Mücheln (Geisel Valley, District of Halle), the longest railway bridge in the GDR was completed. It consists of 7 identical bridge arches.

For one bridge arch, $147 \mathrm{~m}^{3}$ of concrete was used. $1 \mathrm{~m}^{3}$ of concrete has a mass of $24 \mathrm{dt}$ . How many tons of concrete were needed for the bridge construction? (Round to the nearest whole ton!)

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

7 (arches) $\cdot 147 \mathrm{~m}^{3} \cdot 24 \frac{\mathrm{dt}}{\mathrm{m}^{3}}=24696 \mathrm{dt}$ . In total, approximately 2470 tons of concrete are required.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.