An apple, 2 oranges and 3 pears cost £2.10 altogether. An orange and a pear cost 64 pence. How much more does an apple cost than a pear?

Question

An apple, 2 oranges and 3 pears cost £2.10 altogether. An orange and a pear cost 64 pence. How much more does an apple cost than a pear?

Answer 1

exactly nopw

Answer 2

Let's calculate the cost of an orange and a pear from the information provided.

We know that an orange and a pear together cost 64 pence.

So, the cost of an orange and a pear is 64 pence.

Now, we can determine the total cost of the fruits.

We are told that an apple, 2 oranges, and 3 pears cost £2.10 altogether.

Based on this information, we can set up an equation:

1 apple + 2 oranges + 3 pears = £2.10

Now, let's find the individual cost of an apple, an orange, and a pear.

If we subtract the total cost of the oranges and pears from the total cost of all the fruits, we will get the cost of the apple.

Total cost of the fruits - Total cost of the oranges and pears = Cost of the apple.

£2.10 - (2 oranges + 3 pears) = Cost of the apple

Now, let's substitute the values.

£2.10 - (2x + 3x) = Cost of the apple

We need to find the values of x, which represent the cost of an orange and a pear.

From the given information, an orange and a pear together cost 64 pence.

So, x = 0.64

Now, let's substitute the value of x into the equation:

£2.10 - (2(0.64) + 3(0.64)) = Cost of the apple

Simplify the equation:

£2.10 - (1.28 + 1.92) = Cost of the apple

£2.10 - 3.20 = Cost of the apple

Now, perform the subtraction:

£-1.10 = Cost of the apple

It appears that we have a negative value for the cost of the apple. This means there was an error in the calculation. The given information may not be consistent or accurate. There is not enough information to determine the exact cost of an apple or to compare it to the cost of a pear.

Answer 3

To find out how much more an apple costs than a pear, let's break down the given information:

Let's assign variables:
- Let's represent the cost of an apple as "a" in pence.
- Let's represent the cost of an orange as "o" in pence.
- Let's represent the cost of a pear as "p" in pence.

Now, let's use the given information to set up equations:

1. An apple, 2 oranges, and 3 pears cost £2.10 altogether, which is equivalent to 210 pence.
The equation for this information is: a + 2o + 3p = 210

2. An orange and a pear cost 64 pence.
The equation for this information is: o + p = 64

We have two equations and two variables, so we can solve for the values of a and p.

Start by solving equation 2 for o:
o = 64 - p

Substitute this value of o into equation 1:
a + 2(64 - p) + 3p = 210
a + 128 - 2p + 3p = 210
a + p = 82

Now, we have a new equation - a + p = 82

Since we want to find out how much more an apple costs than a pear, we need to subtract the cost of a pear from the cost of an apple.

Let's rewrite the equation as: a = 82 - p

We need a numerical value for p to determine the cost difference. Since we don't have the value of p in the given information, we cannot determine the exact cost difference between an apple and a pear without additional information.

Answer 4

There's no single solution.

All you know is that
a+p = 82
a+o = 18
So, some solutions are
orange costs 10
apple costs 28
pear costs 54

orange costs 23
apple costs 41
pear costs 41

or a bunch of other ways. You should be able to find some where an apple costs more than a pear.