Question

A local Ace Hardware sells batteries ($3) and small boxes of pens ($4). In August, total sales were $976. Customers bought 4 times as many batteries as boxes of pens. How many of each did Ace Hardware sell?

Answer 1

Step-by-step explanation:

let us assume the amount of battery boxes as 3x and pen boxes as 4x

since the battery sale is 4 times more,

3 (4x) =12 x

so 4x +12x = 16x

total money received is 976 rupees

so 16x =976

x =976÷16 = 61

AMOUNT OF BATTERY BOXES =4X = 4×61= 244 BOXES

AMOUNT OF PEN BOXES = X= 61 BOXES

Answer 2

Ace Hardware sell 61 pens and 244 batteries.

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

According to the question

A local Ace Hardware sells batteries ($3) and small boxes of pens ($4).

In August, total sales were $976.

Rewrite in mathematical equation

$3B +4P = 976$.......(1)

Customers bought 4 times as many batteries as boxes of pens.

Rewrite in mathematical equation

$B = 4P$

Substitute $B = 4P$ in equation 1

$3B+B=976$

$4B = 976$

$B = \frac{976}{4}$

B = 244

$B = 4P$

$P=\frac{244}{4}$

P = 61

Ace Hardware sell 61 pens and 244 batteries.

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