Grades 3-4 Video Solutions 2024-2024_3-4

Video Transcription

Question 18, Lucy weighs some blocks. How much do the three different blocks weigh together?  First, let's start off by writing what we know. We know that a rectangle and a circle equal 200 grams, a triangle and a circle weigh 100 grams,  and a rectangle and a triangle weigh 240 grams. To solve this problem, let's add all of this together, where we have rectangle plus circle  plus triangle plus circle plus rectangle plus triangle equal to 200 plus 100 plus 240. Or if we combine these like terms, we get two rectangles plus two circles plus two triangles  equal to 540. Since the question was asking for the three different blocks together, we just take this number and divide by 2.  Then we will get a rectangle plus a circle plus a triangle. And 540 divided by 2 is our answer, which is A, 270 grams.

Video Summary

The problem involves calculating the combined weight of three different blocks: a rectangle, a circle, and a triangle. We know from the problem that a rectangle and a circle together weigh 200 grams, a triangle and a circle weigh 100 grams, and a rectangle and a triangle weigh 240 grams. By summing these equations, we derive that two rectangles, two circles, and two triangles weigh 540 grams in total. Dividing by 2 gives the weight for a rectangle, a circle, and a triangle: 270 grams. Thus, the combined weight of the three blocks is 270 grams.

Keywords

combined weight

rectangle

circle

triangle

calculation