In 1 month 12 gloves were sold for a total of $561. right handed des gloves cost $45 and left handed gloves cost 52$ each. how many of each type of glove were sold

9 right handed gloves and 3 left handed gloves were sold

Solution:

Let "x" be the number of right handed gloves sold

Let "y" be the number of left handed gloves sold

Cost of 1 right handed gloves = $ 45

Cost of 1 left handed gloves = $ 52

1 month 12 gloves were sold for a total of $561

So 12 gloves are sold

Therefore, frame a equation as,

number of right handed gloves sold + number of left handed gloves sold = 12

x + y = 12 -------- eqn 1

They were sold for a total of $ 561

number of right handed gloves sold x Cost of 1 right handed gloves + number of left handed gloves sold x Cost of 1 left handed gloves = 561

45x + 52y = 561 --------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 12 - y ------------ eqn 3

Substitute eqn 3 in eqn 2

45(12 - y) + 52y = 561

540 - 45y + 52y = 561

7y = 561 - 540

7y = 21

Substitute y = 3 in eqn 3

x = 12 - 3

Thus 9 right handed gloves and 3 left handed gloves were sold

sine

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."