Answer:
x = 32/7, or 4 4/7 meals
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
7/8 lb 4 meals
------------ -------------
1 lb x
x will be the number of meals necessary for the dog to eat 1 lb of food.
Cross-multiplying, (7/8)x = 4.
Multiplying both sides by 8/7 is an easy way to isolate x:
(8/7)(7/8)x = (8/7)(4)
or
x = 32/7, or 4 4/7 meals
X represents the number of sodas
y represents the number of hot dogs
142 = x + y
x = 38 + y
Substitute x in the first equation
142 = 38 + y +y
142 - 38 = 2y
104/2 = 2y/2
y =52
x = 38 + 52
x = 90
Answer:
Step-by-step explanation:
The collector has 160 movie posters and 120 band posters.
She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 160:120.
Total ratio = 160 + 120 = 280
If she sells 24 movie posters, it means
24 = 160/280 × x = 160x/280
Where x = total number of movie posters and band posters sold
24 × 280 = 160x
160x = 6720
x = 6720/160 =42
Number of band posters that she should sell = total number of both posters - number of movie posters.
Number of band posters that she should sell = 42-24 =18
