Adrian has $190 to spend on his little brother's birthday party. The clown is going to cost $80. The soda will cost $10. The paper products will also cost $10. His present will
cost $20. Instead of a cake, he plans to get cupcakes. Cupcakes from the bakery cost
$3.50 each. Create an inequality that can be solved to determine how many cupcakes
Adrian can buy with his budget.
A) 120 + 3.50< 190
B) 190 < 3.50x + 120
C) 3.50x + 120 > 190
D) 1202 +3.50 < 190

120 + 3.5x≤ 190

Step-by-step explanation:

Add up all the costs

80+ 10+10+20 + 3.50x where x is the number of cupcakes

Combine like terms

120 + 3.5x

This must be less than or equal to 190

120 + 3.5x≤ 190

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4