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irga5000 [103]
3 years ago
14

Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best

deal? Explain your reasoning
Store X: 4 cans for $2.48
Store Y: 5 cans for $3.00
Store Z: 59 cents per can
Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

The best deal is offered by the Store Z

<em><u>Solution:</u></em>

We have to find which store offers the best deal

This is found by calculating the unit rate of each store

Unit rate of each store means price per can .i.e price of 1 can

<h3><u>Store X: 4 cans for $2.48</u></h3>

Therefore, store X sells 4 cans for $ 2.48

Price of 1 can is found by dividing 2.48 by 4

\text{Price of 1 can } = \frac{2.48}{4} = 0.62

Thus unit rate of store X is $ 0.62 per can

<h3><u>Store Y: 5 cans for $3.00</u></h3>

Therefore, store Y sells 5 cans for $ 3.00

Price of 1 can is found by dividing 3.00 by 5

\text{Price of 1 can } = \frac{3}{5} = 0.6

Thus unit rate of store Y is $ 0.6 per can

<h3><u>Store Z: 59 cents per can</u></h3>

1 cents is equal to 0.01 dollar.

59 cents = 0.59 dollar

Thus unit rate of store Z is $ 0.59 per can

Comparing unit rate of store X, Y, Z

0.62 > 0.6 > 0.59

Thus, unit rate of store Z is lower than store Y and store X

Therefore, the best deal is offered by the Store Z

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Answer:

A) The fraction of sum of money did each child receive is \frac{3 x}{16}

B) The sum of money did Jeff have $ 3200

Step-by-step explanation:

Given as :

Let The sum of money did Jeff have = $ x

The fraction of money did Jeff's wife get = \frac{1}{4} of $ x

The remaining money Jeff will have = $ x - \frac{1}{4} of $ x

I.e The remaining money Jeff will have = \frac{4 x - x}{4}

                                                                = \frac{3 x}{4}

A ) The remaining amount of money is divided equally among 4 children

So, The fraction of sum of money did each child receive = \frac{\frac{3 x}{4}}{4}

I.e The fraction of sum of money did each child receive =  \frac{3 x}{16}

B ) If each child will receive $ 600

∴,  \frac{3 x}{16} = $ 600

Or, 3 x = $ 600 × 16

Or, 3 x = $ 9600

∴    x = \frac{9600}{3}

I.e  x = $ 3200

So, The sum of money did Jeff have $ 3200  

Hence ,

A) The fraction of sum of money did each child receive is \frac{3 x}{16}

B) The sum of money did Jeff have $ 3200   Answer

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Step-by-step explanation:

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