a crate contains apples, pears, and oranges.There are 184 apples and pears and 248 apples and oranges. there are 3 times as many oranges as pears. how many apples are in the crate?
How do I show my work to solve this problem using Singapore math - Math in Focus curriculum?
I have that same question no kidding it is 152
no idea what
Singapore math - Math in Focus curriculum?
is
but here is how I would do this
let the number of pears be x
then the number of oranges is 3x , it said so
let the number of apples be a
a+x = 184
a + 3x = 248
subtract them
2x = 64
x = 32
sub back into
a+x=184
a+32 = 184
a = 152
so we have
152 apples
32 pears and
96 oranges
152
To solve this problem using the Singapore math - Math in Focus curriculum, you can use a bar model or compare-and-contrast method. Here's a step-by-step breakdown of how to solve this problem using the Singapore math approach:
Step 1: Understand the problem.
Read the problem carefully to understand what information you have been given. In this case, you know that there are three types of fruits in the crate: apples, pears, and oranges.
Step 2: Identify the known and unknown quantities.
Identify what is known and what needs to be found. In this problem, you are asked to find the number of apples in the crate.
Step 3: Visualize the problem using a bar model.
The bar model is a popular visual tool used in Singapore math to solve word problems. It helps you organize the information and make it easier to understand. Draw a bar representing the total number of fruits in the crate and divide it into three parts, one for each fruit: apples, pears, and oranges.
Step 4: Use the given information to fill in the bar model.
According to the problem, there are 184 apples and pears, and 248 apples and oranges. This means that the sum of apples and pears is 184, and the sum of apples and oranges is 248. Fill in these numbers on the bar model.
Step 5: Use the bar model to find the missing information.
The problem states that there are three times as many oranges as pears. So, if we let the number of pears be "p," then the number of oranges would be "3p." Since the total number of fruits is the sum of all three types, we can write an equation: p + 3p = 248.
Step 6: Solve the equation to find the value of "p".
Combine like terms in the equation: 4p = 248. Divide both sides of the equation by 4 to isolate "p": p = 62.
Step 7: Use the value of "p" to find the number of apples.
Since the problem says there are 184 apples and pears, we can write the equation: 184 = "number of apples" + 62. Subtract 62 from both sides of the equation to isolate the number of apples: "number of apples" = 184 - 62 = 122.
So, there are 122 apples in the crate.