Larry mixes cinnamon and sugar to make 100 g of a mix to sprinkle over French toast. Cinnamon costs 9¢/g and sugar costs 6.5¢/g. The spice mix costs 7¢/g. How much of each ingredient does Larry need to use?

Answer : The weight of cinnamon and sugar need to use is, 20 g and 80 g respectively.

Step-by-step explanation :

Total weight of mixture = 100 g

Let the weight of cinnamon be, x

And, the weight of sugar will be, (100-x)

Cinnamon costs = 9¢/g

Sugar costs = 6.5¢/g

Mixture costs = 7¢/g

Total cost of cinnamon = 9¢/g × (x)g = (9x)¢

Total cost of sugar = 6.5¢/g × (100-x)g = (650-6.5x)¢

Total cost of mixture = 7¢/g × (100)g = (700)¢

According to question,

(9x)¢ + (650-6.5x)¢ = (700)¢

(9x)¢ - (6.5x)¢ = (700)¢ - (650)¢

(2.5x)¢ = 50¢

x = 20

The weight of cinnamon = x = 20 g

The weight of sugar = 100 - x = 100 - 20 = 80 g

answer: a

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.