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3 tins of beans and 4 tins of tomatoes costs
£2.73.
5 tins of beans costs
£1.55.
Work out how much one tin of tomatoes costs.

$3$ tins of beans and $4$ tins of tomatoes costs $\pounds 2.73$ . $5$ tins of beans costs $\pounds 1.55$ . Work out how much one tin of tomatoes costs.

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Add and subtract money amounts: word problems

Full solution

Q.

3

tins of beans and

4

tins of tomatoes costs

\pounds 2.73

.

5

tins of beans costs

\pounds 1.55

. Work out how much one tin of tomatoes costs.

Equations Given: Let's denote the cost of one tin of beans as $B$ and the cost of one tin of tomatoes as $T$ . We are given two equations based on the information provided: $\newline$ $1$ ) $3B + 4T = £2.73$ (for $3$ tins of beans and $4$ tins of tomatoes) $\newline$ $2$ ) $5B = £1.55$ (for $5$ tins of beans) $\newline$ We need to find the value of $T$ .
Cost of Beans: From the second equation, we can find the cost of one tin of beans by dividing the total cost by the number of tins: $\newline$ $5B = £1.55$ $\newline$ $B = £1.55 / 5$ $\newline$ $B = £0.31$ $\newline$ Now we know that one tin of beans costs $£0.31$ .
Cost of Tomatoes: We substitute the value of $B$ into the first equation to find the cost of $T$ : $3B + 4T = £2.73$ $3(£0.31) + 4T = £2.73$ $£0.93 + 4T = £2.73$ Now we need to solve for $T$ .
Solving for T: Subtract £ $0.93$ from both sides of the equation to isolate the term with $T$ : $\newline$ £ $0.93 + 4T - £0.93 = £2.73 - £0.93$ $\newline$ $4T = £1.80$ $\newline$ Now we divide both sides by $4$ to find the cost of one tin of tomatoes.
Final Answer: Divide £ $1$ . $80$ by $4$ to find the cost of one tin of tomatoes: $\newline$ $T = £1.80 / 4$ $\newline$ $T = £0.45$ $\newline$ So, one tin of tomatoes costs £ $0$ . $45$ .

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