Question

1. mari bought 6 packets of tomato seeds. each packet contained 24 seeds. she planted 1 packet of the seeds, and 15 seeds sprouted. which statement about the seeds in the remaining packets is best supported by this information?

○ no more than 50 seeds will sprout.
○ between 50 and 100 seeds will sprout.
○ at least 100 but no more than 120 seeds will sprout.
○ all 120 seeds will sprout.

Explanation:

Step1: Find remaining packets

Mari bought 6 packets, planted 1, so remaining packets: \( 6 - 1 = 5 \)

Step2: Total seeds in remaining packets

Each packet has 24 seeds, so total seeds: \( 5 \times 24 = 120 \)

Step3: Analyze sprout range

In 1 packet (24 seeds), 15 sprouted. For 5 packets (120 seeds), minimum sprouts (if same rate): \( 5 \times 15 = 75 \); maximum (if all sprout): 120. But 75 is between 50 - 100, and 120 is too high. Wait, wait, no: wait, 1 packet: 24 seeds, 15 sprouted. So per packet, at least 15? No, actually, the rate is 15/24. But maybe better to see: remaining packets: 5. Each has 24, so 120 seeds. The sprouted in 1 packet: 15. So for 5 packets, the number of sprouted seeds would be between (if worst case, 0 per packet except the 15, but no, wait, the 1 packet had 15 sprouted. So the remaining 5 packets: total seeds 120. The possible sprouted: if we assume the same as the planted packet (15 per 24), then 5(15) = 75, and maximum could be 120 (all sprout), but 75 is between 50 - 100, and 120 is option C? Wait no, option C is at least 100, but 75 is less than 100. Wait, maybe I made a mistake. Wait, original problem: Mari bought 6 packets, planted 1 (24 seeds, 15 sprouted). Remaining packets: 5. Total seeds in remaining: 524=120. Now, the sprouted in the planted packet: 15. So the remaining seeds: 120. Now, the options:

Option 1: No more than 50: 120 seeds, even if 15 per 24, 5*15=75>50, so wrong.

Option 2: Between 50 and 100: 75 is between 50-100, and even if some packets have more, but 15 per 24 is 62.5% rate. 524=120. 62.5% of 120 is 75. If rate is higher, maybe up to 120, but 75 is between 50-100. Wait, but option C is at least 100, which is wrong. Wait, maybe I miscalculated. Wait, 6 packets total: 624=144 seeds. Planted 24, 15 sprouted. Remaining: 120 seeds. Now, the possible sprouted: minimum could be 0 (but in the planted packet, 15 sprouted, so maybe the seeds are viable, so at least some. But the options:

Wait, the options:

1. No more than 50: 120 seeds, even if 15 per 24, 5*15=75>50: wrong.

1. Between 50 and 100: 75 is between 50-100, and if all 120 sprout, that's more than 100, but the planted packet had 15/24, so 62.5% success. 62.5% of 120 is 75, so between 50-100.

1. At least 100: 75<100: wrong.

1. All 120: planted packet had 15/24, not all, so unlikely: wrong.

So the correct option is the second one: Between 50 and 100 seeds will sprout. Wait, but let's recheck:

Remaining packets: 5. Each has 24 seeds: 5*24=120 seeds.

In the planted packet (24 seeds), 15 sprouted. So the number of sprouted seeds in remaining packets:

Minimum: if we assume that the planted packet was the best case, and others have 0, but that's unlikely. But more realistically, if the rate is similar, 15 per 24, so 5*15=75. Maximum: if all 120 sprout, but that's not supported (since 1 packet had 15/24, not 24/24). So 75 is between 50 and 100. So the answer is the second option.

Wait, but the options are:

• No more than 50: no, 75>50.

• Between 50 and 100: yes, 75 is between.

• At least 100: 75<100: no.

• All 120: no.

So the correct option is the second one: Between 50 and 100 seeds will sprout.

Answer:

B. Between 50 and 100 seeds will sprout.