Question

at the gardening store, the jumbo - sized fertilizer bags decreased by 25%. if the old bags held 24 pounds of fertilizer, how much do the new bags hold? identify and label the point on the double number line that represents the amount of fertilizer the old jumbo - size bags held. fertilizer (pounds) 0% 25% 50% 75% 100% 125%

Explanation:

Step1: Understand the Problem

The old bags held 24 pounds. The bottom number line is percentage (0% - 125%), and the top is fertilizer in pounds. We need to find where 24 pounds (100% of old amount) is on the top line. Wait, first, the question is to label the old amount (24 pounds) on the double number line. Wait, maybe the top line's 100% corresponds to 24 pounds? Wait, no, let's think. The bottom line: 0% is 0 pounds? Wait, no. Wait, the decrease is 25%, so original is 100%. So 100% of the old amount is 24 pounds. So on the top number line, the 100% mark (which is at 100% on the bottom) should correspond to 24 pounds? Wait, no, the first part: the old bags held 24 pounds. So we need to find the position on the top number line (fertilizer pounds) that represents 24 pounds. Let's see the bottom number line has 0%, 25%, 50%, 75%, 100%, 125%. The top line: let's assume that 100% (on bottom) is 24 pounds. Wait, maybe the top line's 100% mark (the fourth tick, since 0%,25%,50%,75%,100%,125%: wait, no, the bottom line has ticks at 0%,25%,50%,75%,100%,125%? Wait, the bottom line's ticks: 0% is first, then 25%, 50%, 75%, 100%, 125%. So the top line's ticks: let's see, the first tick is 0, then the next ticks. Wait, maybe the top line's 100% (the tick at 100% on bottom) is 24 pounds. Wait, no, the old amount is 24 pounds, which is 100% of the original. So on the top number line, the position corresponding to 100% on the bottom (which is the tick at 100%) should be labeled 24. Wait, but the question is to label the old amount (24 pounds) on the top line. Let's check the number of ticks. The bottom line has ticks at 0%,25%,50%,75%,100%,125% (5 intervals? Wait, no, the ticks are at 0%,25%,50%,75%,100%,125%: that's 6 ticks? Wait, the image shows bottom line with ticks at 0%,25%,50%,75%,100%,125%. Top line has ticks: first at 0, then next ticks. Let's count the intervals. From 0% to 100% is 4 intervals (25% each). Wait, 0% to 25% is first, 25% to 50% second, 50% to 75% third, 75% to 100% fourth. So 100% is the fourth tick after 0%? Wait, no, the bottom line: 0% is first, then 25% (second), 50% (third), 75% (fourth), 100% (fifth), 125% (sixth). So top line: first tick 0, then second tick (25% on bottom) – what's the value? Wait, maybe the top line's 100% (fifth tick) is 24 pounds. Wait, no, the old amount is 24 pounds, which is 100% of the original. So when the bottom is 100%, the top is 24. So we need to find the tick on the top line that corresponds to 100% on the bottom. Looking at the bottom line, 100% is the fourth tick from 0%? Wait, no, 0% (first), 25% (second), 50% (third), 75% (fourth), 100% (fifth), 125% (sixth). So top line: first tick 0, second tick (25% on bottom) – let's see, the decrease is 25%, so original is 100% (24 pounds). So the top line's 100% (fifth tick) should be 24. Wait, but the question is to label the old amount (24 pounds) on the top line. So we need to find the position. Wait, maybe the top line's 100% mark (the tick at 100% on bottom) is 24. So on the top number line, the tick that is aligned with 100% on the bottom is 24 pounds. So we label that tick with 24. But first, let's confirm the relationship. The bottom line is percentage of the old amount. So 100% is the old amount (24 pounds). So 0% is 0 pounds, 25% is 25% of 24, but we need to label the old amount (100% = 24 pounds) on the top line. So the top line's tick that is at 100% on the bottom (the fifth tick, since 0%,25%,50%,75%,100%,125%: 100% is the fifth tick from the left? Wait, the bottom line has ticks at 0%,25%,50%,75%,100%,125%. So the top line has corresponding ticks. So the tick on the top line that is above 100% on the bottom is the one representing 24 pounds. So we label that tick with 24. But maybe the top line is divided into intervals. Let's see, from 0 to 24, with 25% intervals. Wait, 25% of 24 is 6, 50% is 12, 75% is 18, 100% is 24, 125% is 30. So the top line's ticks: 0, 6, 12, 18, 24, 30. So the tick at 100% (bottom) is 24 on top. So we need to label the tick on the top line that is above 100% on the bottom with 24. Wait, but the question is to "identify and label the point on the double number line that represents the amount of fertilizer the old jumbo - size bags held". The old amount is 24 pounds, which is 100% of the original. So on the top number line (fertilizer pounds), the point corresponding to 100% on the bottom number line (percentage) is 24 pounds. So we find the tick on the top line that is aligned with 100% on the bottom line and label it 24.

Step2: Determine the Position

Looking at the double number line, the bottom line has 100% at the fourth tick from the left (after 0%,25%,50%,75%)? Wait, no, 0% (first), 25% (second), 50% (third), 75% (fourth), 100% (fifth), 125% (sixth). So the top line's fifth tick (aligned with 100% on bottom) is the one for 24 pounds. So we label that tick with 24. But maybe the top line's ticks are 0, 6, 12, 18, 24, 30 (since 25% of 24 is 6, so each 25% interval is 6 pounds). So 0 (0%), 6 (25%), 12 (50%), 18 (75%), 24 (100%), 30 (125%). So the tick at 100% (bottom) is 24 on top. So we label that tick with 24.

Answer:

The point on the top number line (fertilizer pounds) that is aligned with 100% on the bottom number line (percentage) should be labeled 24. So the tick on the top line corresponding to 100% on the bottom (the fifth tick from the left, considering the bottom line's ticks: 0%,25%,50%,75%,100%,125%) is labeled 24. (If we consider the top line's ticks as 0, 6, 12, 18, 24, 30, then the tick at 24 is the one to label.)