You are buying 2 items so let's use two different variables to represent each:
p = number of tubes of paint
b = number of disposable brushes
cost = price per item × number of items
Equations from information given:
4p + 0.50b = 20 ← from the first 2 sentences
2p = b ← if there are twice as many brushes as paint tubes you need 2 times paint tubes to equal number of brushes
Solve the problem by using substitution... 1b equals 2p so replace b with that:
4p + 0.50(2p) = 20
4p + 1p = 20 ← 0.50 is half so half of 2p is 1p
5p = 20 ← combine like terms
p = 4 ← divide both sides of the equation by 5
Recall the equation 2p = b replace p with 4
2(4) = b
8 = b
ANSWER:
You purchased 4 tubes of paint and 8 disposable brushes.
Answer:
x = 17
Step-by-step explanation:
First, let's turn this into an equation:
twenty more ( +20 ) than four times a number ( 4x ) is equal ( = ) to the difference ( - ) between 139 and 3 times the number ( 3x ).
4x + 20 = 139 - 3x
Now let's solve:
Subtract 20 from each side:
4x = 119 - 3x
Add 3x to each side:
7x = 119
Divide each side by 7:
x = 17
1 yr = 12 months
4 yrs= 12x4 = 48 months
3/4 year= 3/4 x12 = 9
so 4 3/4 years= 48+9 =57 months
