Track / Stage 4 / 182 of 340 #442 of 1964

Problem 442

AMC 12 late, AIME early

Algebra Difficulty 4.8 Find the answer

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 reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.