Math / Algebra

Question4) Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72 , what are the maximum and minimum scores that Leona could have made in the golf tournament?

Studdy Solution

STEP 1

1. Leona played four rounds of golf.
2. Each round was within 2 strokes of par.
3. Par for each round is 72.
4. We need to find the maximum and minimum scores Leona could have achieved.

STEP 2

1. Understand the range of scores for each round.
2. Determine the maximum score for one round.
3. Determine the minimum score for one round.
4. Calculate the total maximum score for the tournament.
5. Calculate the total minimum score for the tournament.

STEP 3

Understand the range of scores for each round. Since each round is within 2 strokes of par, the possible scores for each round are:
$72 - 2 \leq \text{Score} \leq 72 + 2$
This simplifies to:
$70 \leq \text{Score} \leq 74$

STEP 4

Determine the maximum score for one round. The maximum score for one round is 74.

STEP 5

Determine the minimum score for one round. The minimum score for one round is 70.

STEP 6

Calculate the total maximum score for the tournament. Since there are four rounds, the total maximum score is:
$4 \times 74 = 296$

STEP 7

Calculate the total minimum score for the tournament. Since there are four rounds, the total minimum score is:
$4 \times 70 = 280$
The maximum score Leona could have made is $\boxed{296}$ and the minimum score is $\boxed{280}$ .

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Question4) Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72 , what are the maximum and minimum scores that Leona could have made in the golf tournament?

Studdy Solution

STEP 1

1. Leona played four rounds of golf.
2. Each round was within 2 strokes of par.
3. Par for each round is 72.
4. We need to find the maximum and minimum scores Leona could have achieved.

STEP 2

1. Understand the range of scores for each round.
2. Determine the maximum score for one round.
3. Determine the minimum score for one round.
4. Calculate the total maximum score for the tournament.
5. Calculate the total minimum score for the tournament.

STEP 3

Understand the range of scores for each round. Since each round is within 2 strokes of par, the possible scores for each round are:
$72 - 2 \leq \text{Score} \leq 72 + 2$
This simplifies to:
$70 \leq \text{Score} \leq 74$

STEP 4

Determine the maximum score for one round. The maximum score for one round is 74.

STEP 5

Determine the minimum score for one round. The minimum score for one round is 70.

STEP 6

Calculate the total maximum score for the tournament. Since there are four rounds, the total maximum score is:
$4 \times 74 = 296$

STEP 7

Calculate the total minimum score for the tournament. Since there are four rounds, the total minimum score is:
$4 \times 70 = 280$
The maximum score Leona could have made is $\boxed{296}$ and the minimum score is $\boxed{280}$ .

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Question4) Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72 , what are the maximum and minimum scores that Leona could have made in the golf tournament?

Studdy Solution

STEP 1

1. Leona played four rounds of golf.2. Each round was within 2 strokes of par.3. Par for each round is 72.4. We need to find the maximum and minimum scores Leona could have achieved.

STEP 2

1. Understand the range of scores for each round.2. Determine the maximum score for one round.3. Determine the minimum score for one round.4. Calculate the total maximum score for the tournament.5. Calculate the total minimum score for the tournament.

STEP 3

Understand the range of scores for each round. Since each round is within 2 strokes of par, the possible scores for each round are:72−2≤Score≤72+2 72 - 2 \leq \text{Score} \leq 72 + 2 72−2≤Score≤72+2This simplifies to:70≤Score≤74 70 \leq \text{Score} \leq 74 70≤Score≤74

STEP 4

Determine the maximum score for one round. The maximum score for one round is 74.

STEP 5

Determine the minimum score for one round. The minimum score for one round is 70.

STEP 6

Calculate the total maximum score for the tournament. Since there are four rounds, the total maximum score is:4×74=296 4 \times 74 = 296 4×74=296

STEP 7

Calculate the total minimum score for the tournament. Since there are four rounds, the total minimum score is:4×70=280 4 \times 70 = 280 4×70=280 The maximum score Leona could have made is 296 \boxed{296} 296​ and the minimum score is 280 \boxed{280} 280​.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Leona played four rounds of golf.
2. Each round was within 2 strokes of par.
3. Par for each round is 72.
4. We need to find the maximum and minimum scores Leona could have achieved.

1. Understand the range of scores for each round.
2. Determine the maximum score for one round.
3. Determine the minimum score for one round.
4. Calculate the total maximum score for the tournament.
5. Calculate the total minimum score for the tournament.

Understand the range of scores for each round. Since each round is within 2 strokes of par, the possible scores for each round are:
$72 - 2 \leq \text{Score} \leq 72 + 2$
This simplifies to:
$70 \leq \text{Score} \leq 74$

Calculate the total maximum score for the tournament. Since there are four rounds, the total maximum score is:
$4 \times 74 = 296$

Calculate the total minimum score for the tournament. Since there are four rounds, the total minimum score is:
$4 \times 70 = 280$
The maximum score Leona could have made is $\boxed{296}$ and the minimum score is $\boxed{280}$ .