Michael has enough money to buy either 12 pears or 36 apples it he intended to buy an equal numbers of pears and apples how many of each fruit can he buy with the money.?
Answers
Step-by-step explanation:
So, 12:36
This is the same ratio as 1:3.
Now, we can set values for each. If Mike has enough money to buy 1 pear or 3 apples, we can set the price of a pear to $3 and the price of an apple to $1.
Now, we know he can only buy 12 pears or 36 apples, so let’s use our set price to solve this. 36*1 = 36, so he only has $36.
So, if he has only $36, then we can set an equation, assume x is the amount of apples and pears he wants. You want these values to be the same, so just set them to the same value which we we are calling x.
Then, 3x + x = 36. 3 is the amount of dollars for the pears and 1 is the amount of dollars for x.
4x = 36
x=9
By substituting some nice values into each of the problems, we can solve.
He will get 9 pears and 9 apples, and remember, the proportions will always remain the same, so this works for any type of money or amount of money.
Thanks, if you need any help, don’t be afraid to ask.
Hope this helps!
Answer:
So, 12:36
This is the same ratio as 1:3.
Now, we can set values for each. If Mike has enough money to buy 1 pear or 3 apples, we can set the price of a pear to $3 and the price of an apple to $1.
Now, we know he can only buy 12 pears or 36 apples, so let’s use our set price to solve this. 36*1 = 36, so he only has $36.
So, if he has only $36, then we can set an equation, assume x is the amount of apples and pears he wants. You want these values to be the same, so just set them to the same value which we we are calling x.
Then, 3x + x = 36. 3 is the amount of dollars for the pears and 1 is the amount of dollars for x.
4x = 36
x=9
By substituting some nice values into each of the problems, we can solve.
He will get 9 pears and 9 apples, and remember, the proportions will always remain the same, so this works for any type of money or amount of money.
Thanks, if you need any help, don’t be afraid to ask.
Hope this helps!
Step-by-step explanation: