Question

The sum of twice the cost of a box biscuits and the cost of a box chocolates is $8.00. The difference between the cost of box of chocolates and the box of biscuits is $1.00. Find the cost of each.

Answer 1

Answer:

The cost of a box biscuits = $3.00

The cost of a box chocolates = $2.00

Step-by-step explanation:

Let the cost of a box biscuits be 'x'

and Let the cost of a box chocolates be 'y'

ATQ

2x + y = $8.00 --(1)

x - y = $1.00 --(2)

Equation (1) + Equation (2)

2x + y + x - y = $8.00 + $1.00

3x = $9.00

x = $3.00

=> y = $2.00

HOPE IT HELPS YOU

Answer 2

Given :- The sum of twice the cost of a box biscuits and the cost of a box chocolates is $8.00. The difference between the cost of box of chocolates and the box of biscuits is $1.00.

To Find :- The cost of each box ?

Solution :-

Case 1) :- cost of box of chocolates > cost of of box of biscuits .

Let us assume that, the cost of box of chocolates is $x and the box of biscuits is $y where x > y .

according to first statement,

→ Twice the cost of a box of biscuits + cost of a box of chocolates = $ 8.00

→ 2 × y + x = 8

→ x + 2y = 8 ------------ Equation (1)

according to first statement,

→ cost of box of chocolates - cost box of biscuits = $ 1.00

→ x - y = 1 -------------- Equation (2)

subtracting Equation (2) from Equation (1),

→ (x + 2y) - (x - y) = 8 - 1

→ x - x + 2y + y = 7

→ 3y = 7

→ y = (7/3) = $ 2.33

putting value of y in Equation (2),

→ x - (7/3) = 1

→ x = 1 + (7/3)

→ x = (10/3) = 3.33

therefore, the cost of box of chocolates is $ 3.33 and the cost of box of biscuits is $ 2.33 .

Case 2) :- cost of box of biscuits > cost of of box of chocolates .

Let us assume that, the cost of box of chocolates is $x and the box of biscuits is $y where y > x .

So,

→ x + 2y = 8 ------------ Equation (1)

→ y - x = 1 ------------ Equation (2)

adding Equation (1) and Equation (2),

→ (x + 2y) + (y - x) = 8 + 1

→ x - x + 2y + y = 9

→ 3y = 9

→ y = 3

putting value of y in Equation (2),

→ 3 - x = 1

→ x = 3 - 1

→ x = 2

therefore, the cost of box of chocolates is $ 2.00 and the cost of box of biscuits is $ 3.00 .

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