Grace has enough money to buy 45 bricks. If the bricks each cost 10

Question

Grace has enough money to buy 45 bricks. If the bricks each cost 10 cents less, Grace could buy 5 more bricks. How much money does Grace have to spend on bricks?

A. $100
B. $50
C. $45
D. $40
E. $30

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ManifestDreamMBA · Answer

Let the amount be x and price of each brick be p 45p<=X If the bricks each cost 10 cents less, Grace could buy 5 more bricks. This means with 450 cents, you can buy 5 bricks Each brick can cost 450/6 753375 33.75

APram · Answer

Let cost of each brick be $ x
Amount of money Grace have = $45x

New price = $ x-0.1
Quantity of bricks = 50

Since amount is constant 
=> 45x = 50(x-0.1)
=> 5 = 5x
=> x = $1

So Grace have 45×1 = $45
 Option C

rohitz98 · Answer

Take the cost of 1 brick is 'x' cent and 45 bricks cost 45x cent
If its 10 cent less then for 45x cent she can buy 50 bricks
Hence
50(x-10) = 45x

This gives x = 100; Hence 45 bricks cost 4500 cent = 45 dollar which she has in total  Option C

Dereno · Answer

Grace has enough money to buy 45 Bricks. Let that money is $P.

Total cost = 45*P

If the price is reduced by 10 cents , Grace would have bought 5 more bricks.

50* (P-10) = 45*P

5P = 500

P = 100 cents = $1

Therefore, 45 Bricks costs $45.

Option C

Missinga · Answer

Grace has enough money to buy 45 bricks. If the bricks each cost 10 cents less, Grace could buy 5 more bricks. How much money does Grace have to spend on bricks?
Let, cost of a brick= x cents 
Total Cost= 45*x
Cost after price reduction 
50(x-10)=45x 
50x-500=45x
x=100 cents 
Cost of 45 bricks= 45*100=4,500 cents= $45

Answer: C

GraemeGmatPanda · Answer

Define variables for the total amount of money and the price per brick.
 M = 45 p

Express the total money in terms of the reduced price per brick.
 M = 50 \,(p - 10)

Set the two expressions for the total money equal and solve for the original price per brick.
 45 p = 50 \,(p - 10) 
 45 p = 50 p - 500 
 500 = 50 p - 45 p 
 500 = 5 p 
 p = \frac{500}{5} 
 p = 100

Calculate the total money using the original price per brick.
 M = 45 	imes 100 
 M = 4500

Convert the total money from cents to dollars.
 4500 \div 100 = 45

Answer 45
Hope this helps!
ʕ•ᴥ•ʔ

Grace has enough money to buy 45 bricks. If the bricks each cost 10

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Grace has enough money to buy 45 bricks. If the bricks each cost 10

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