Solving Equations
Solving Equations with percent
Double Jeopardy
100
Solve for x in this equation
4x + 5 = 29
x = 6
100
What would your new percent be if you needed to increase by 20%?
120%
100
Sara needed to pay for car insurance but was able to get $20 off of all 5 of her payments. If she in the end only needed to pay $1,250 for all 5 cars combined, how much would she have to pay for each car before the price drop?
Write an equation to represent this and then solve for how much she'd have to pay for each car before the price dropped.
$270
200
Solve for x in this hanger diagram
x = 7
200
What is your new percent if you need to decrease by 10%?
What would you need to multiply your x by if you had to do a 10% decrease?
Write it as an expression (not an equation)
90%
0.90
0.90x or 0.9x
200
Originally, you would need to pay a certain amount of money to get in the amusement park, minus the 2$ coupon you had. But during this summer sale, your admission fee (on top of the coupon) gets a 6% discount! You only end up needing to 7$ this time!
Write an equation to represent this situation and solve for how much money your admission fee was before the discount and coupon.
0.94(f-2)=7
f= $9.45 or $9.44
300
Write an equation to describe this hanger diagram, then solve for p.
2(p+3)=16
p = 5
300
Sea urchins at a market cost $4 per pound, Tracy just wanted to buy a single sea urchin but then also some potatoes for $12. The tax during checkout raised the price by 15%.
What's the new percent?
What decimal do you need to multiply your bill with?
What is the new price?
115%
Multiply Tracy's bill with 1.15
New bill price: $18.40
400
Make a hanger diagram for this equation and solve for the variable.
7 (r + 8) = 119
r = 9
400
Carly counted x ducks at the pond and 3 swans. The next week, there was 40% more birds at the pond, during the next week there was 14 birds at the pond.
Write an equation for this situation then solve for the number of ducks during the first week.
1.4(x+3)=14
7 ducks.
500
Write an equation for this hanger diagram, then solve for the variable. (there's an extra step this time, notice what's not part of the 3 groups.
3(y+5) + 8 = 29
500
At the super market, bananas costed a certain amount, and grapes costed 5$. If you were to buy one pack of bananas and one pack of grapes, after getting a discount of 5% on your grocery bill, you only needed to pay $10.20.
Write an equation to represent this situation and then solve for cost of the bananas before the discount.
0.95(b+5)=10.20
b = $5.74 or $5.73