STEP 1:
determine equations needed
x= # of $10 tickets
y= # of $14 tickets
QUANTITY EQUATION
x + y= 800
COST EQUATION
$10x + $14y= $9,040
STEP 2:
multiply quantity equation by -14
-14(x + y)= -14(800)
-14x - 14y= -11,200
STEP 3:
add new quantity equation in step 2 to cost equation of step 1 to solve for x using elimination
-14x - 14y= -11,200
10x + 14y= 9040
y term cancels out
-4x= -2160
divide both sides by -4
x= 540 ten dollar tickets
STEP 4:
substitute x value in step 3 into either original equation
x + y= 800
540 + y= 800
subtract 540 from both sides
y= 260 fourteen dollar tickets
ANSWER: There were 540 $10 tickets and 260 $14 tickets sold.
Hope this helps! :)
Answer:
7.99+2(1.09)+3(2.75)+x =25
Step-by-step explanation:
what's given are the prices of the canvas, brushes, and bottles of pain. 7.99 represents the one canvas Anna is buying, 2(1.09) represents the 2 brushes, and 3(2.75) represents the bottle of paints. Now what's left is x and x represents the amount of money left on the gift card. The gift card is $25 in total so that's why at the end of the equation it equals to $25.
The second sentence “ stella ate 3 times as many cherries as adam” it shows that stella ate 6 cherries.
1000+100+50+7 is the expanded form