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4 years ago

Lucie is 5 years younger than her brother. Three years ago, Lucie was twice younger than her brother. How old is each now?

Mathematics

2 answers:

Dafna11 [192]4 years ago

5 0

Answer: Lucie is 8 and her brother is 13

Step-by-step explanation: the only possible way for Lucie to be half her brother's age while being 5 years younger at the same time, is if she's 5 and he's 10. that's how old they were 3 years ago. now you just add 3 to 5 and 10 to find their current ages; 5+3=8 so Lucie is 8, and 10+3=13 so her brother is 13.

Nookie1986 [14]4 years ago

4 0

Answer:

Lucie is 8 and her brother is 13

Step-by-step explanation:

Lucie is 5 years younger than her brother. Three years ago, Lucie was twice younger than her brother.

Let L be the Lucie age

and B be the brothers age

Lucie is 5 years younger than her brother

L= B-5

Three years ago, Lucie age is L-3

brother is B-3

Lucie was twice younger than her brother.

2(L-3)= B-3

Plug in B-5 for L

2(B-5-3)= B-3

2B - 16= B-3

Subtract B from both sides

B - 16 = -3

Add 16 on both sides

B= 13

Age of brother = 13

Age of Lucie = brother -5 = 13-5 = 8

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At the market, Ms. Winn bought 3/4 lb of grapes and 5/8 lb of cherries.

wolverine [178]

Answer:

Part a) Ms. Winn bought 12 oz of grapes

Part b) Ms. Winn bought 10 oz of cherries

Part c) Ms. Winn bought 2 oz more of grapes than cherries

Part d) Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

Step-by-step explanation:

Part a) How many ounces of grapes did Ms. Winn buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 3/4 lb of grapes

Convert lb to oz

Multiply by 16

$\frac{3}{4}\ lb= \frac{3}{4}(16)=12\ oz$

therefore

Ms. Winn bought 12 oz of grapes

Part b) How many ounces of cherries did Ms. Winn buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 5/8 lb of cherries

Convert lb to oz

Multiply by 16

$\frac{5}{8}\ lb= \frac{5}{8}(16)=10\ oz$

therefore

Ms. Winn bought 10 oz of cherries

Part c) How many more ounces of grapes than cherries did Ms. Winn buy?

Subtract the ounces of cherries from the ounces of grapes

$12\ oz-10\ oz=2\ oz$

therefore

Ms. Winn bought 2 oz more of grapes than cherries

Part d) If Mr. Phillips bought 1 3/4 pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips? How many ounces more?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Mr. Phillips bought 1 3/4 pounds of raspberries

Convert mixed number to an improper fraction

$1\frac{3}{4}\ lb=\frac{1*4+3}{4}=\frac{7}{4}\ lb$

Convert lb to oz

Multiply by 16

$\frac{7}{4}\ lb= \frac{7}{4}(16)=28\ oz$

Remember that

Ms. Winn bought 12 oz of grapes and 10 oz of cherries

In total Ms. Winn bought

12 oz+10 oz=22 oz -----> total ounces of fruit

Mr. Phillips bought 28 oz of fruit

Ms. Winn bought 22 oz of fruit

$28\ oz > 22\ oz$

Find the difference

$(28\ oz-22\ oz)=6\ oz$

therefore

Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

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Bess [88]

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Step-by-step explanation:

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4 years ago

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kolezko [41]

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Step-by-step explanation:

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valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

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Speed = Distance / Time

= 112 / 1 45/60

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= 112 × 4/7

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TRUE

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TRUE

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FALSE

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TRUE

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FALSE

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