A woman had $200. she went to the meatshop, a drug store and a book store. she spent four(4) times as much money in the meatshop as in the drug store. she spent $15 less at the book store than at the drug store she then had $5.00 left.

Question

A woman had $200. she went to the meatshop, a drug store and a book store. she spent four(4) times as much money in the meatshop as in the drug store. she spent $15 less at the book store than at the drug store she then had $5.00 left.

USING X to represent the amount spent at the drugstore, express in algebraic terms:
(1) The amount spent at the meatshop
(2) The amount spent at the bookshop
(3) Obtain an equation for the total money spent and calculate the amount spent at the drugstore.

Answer 1

1 4/6=1 2/3

Answer 2

A woman had $300. She went to a meat shop, a bookstore and a drugstore. She spent five times as much money

at the meat shop as she did at the drugstore. She spent $20 less at the bookstore than at the drugstore. She then
had $10 left.
(a) Using $x to represent the amount she spent at the drugstore, express in algebraic terms
i. The amount she spent at the meat shop (1mk)
ii. The amount she spent at the bookshop (1mk)
(b) Obtain an equation for the total amount of money spent and hence calculate the amount she spent
at the drugstore

Answer 3

(1) The amount spent at the meatshop: 4x

(2) The amount spent at the bookshop: x - $15
(3) Equation for the total money spent: x + 4x + (x - $15) = $200 - $5

Simplifying the equation:
6x + x - $15 = $195

Combine like terms:
7x - $15 = $195

Add $15 to both sides:
7x = $210

Divide both sides by 7:
x = $30

Therefore, the amount spent at the drugstore is $30.

Answer 4

Let's use algebraic expressions to represent the amounts spent at each store.

Let X be the amount spent at the drug store.

(1) The amount spent at the meat shop:
Since the woman spent four times as much money in the meat shop as in the drug store, we can express it as 4X.

(2) The amount spent at the book store:
The woman spent $15 less at the book store than at the drug store. So, it would be X - $15.

(3) The equation for the total money spent:
To find the total money spent, we need to add up the amounts spent at each store and subtract it from the starting amount of $200. We know that the remaining amount is $5. So, the equation would be:

X + 4X + (X - $15) + $5 = $200

Now, we can solve the equation to find the amount spent at the drug store.

X + 4X + (X - $15) + $5 = $200
6X - $10 = $200

Adding $10 to both sides of the equation:
6X = $210

Dividing both sides by 6:
X = $35

Therefore, the amount spent at the drug store is $35.

Answer 5

money spent in meat shop=4xRs

money spent in drugstore= xRs
money spent in book store=x-15Rs
money remaining=5Rs
sum=4x+x+x-15+5
=6x-10